A tower that is 166 feet tall casts a shadow 167 feet long. Find the angle of elevation of the sun to the
nearest degree.
Answers
Answer:
The angle is approximately [tex]45^\circ[/tex].
Step-by-step explanation:
We should start with a diagram (like the one attached). Notice the length of the tower and the length of the shadow are the legs of a right triangle, and the angle of elevation is an acute angle of that triangle.
Since we are given the opposite and adjacent sides to the angle, we will use the tangent function:
[tex]\tan{\theta}=\frac{\text{opposite side}}{\text{adjacent side}}[/tex]
In this case, the opposite side is the height of the tower, 166 ft. The adjacent side is the length of the shadow, 167 ft. So, we have:
[tex]\tan{\theta}=\frac{166}{167}[/tex]
To get the angle, we need to use inverse tangent:
[tex]\theta=\tan^{-1}(\frac{166}{167})\\\theta \approx 45[/tex]
The angle is approximated [tex]45^\circ[/tex] when rounded to the nearest degree.
Related Questions
A number is selected at random from {1, 2, 3} three times probability that 1 is selected at least once?
Answers
The probability that one is selected is the likelihood
The probability that one is selected at least once is 0.704
How to calculate the probability?The sample space is given as:
S = {1,2,3}
The probability that 1 is not selected at all is:
P'(None) = 2/3
The probability that one is selected at least once is calculated using the following complement rule
P(At least once) = 1 - P(None)^3
This gives
P(At least once) = 1 -(2/3)^3
Evaluate
P(At least once) = 0.704
Hence, the probability that one is selected at least once is 0.704
Read more about probability at:
https://brainly.com/question/251701
Can pls someone help me? and show how it did it?
Answers
Answer:
You have no image so how could i solve?
Step-by-step explanation:
what's the periotic table
Answers
Answer:
the table in which element are systematically arranged into various period based on their similar properties is called periodic table
Answer: it is a table of all the elements and shows you all the abbreviations for each one.
Step-by-step explanation:
there is a picture attached if you want to see what it looks like.
It basically just tells and shows you about all the different materials and/or elements.
Hope this helps! :)
I dont understand what this is really telling me. can someone explain?
Answers
Answer:
B
Step-by-step explanation:
It's where the line goes over the x line
Answer:
B,
Step-by-step explanation:
The zeros are the x values where the graph crosses the horizontal x-axis.
These are at x = 0 and x = 5.
How many students are in Mr. Gatlin’s class?How did you know? Justify your reasoning..
Answers
Answer:
where is the full question?
Step-by-step explanation:
PLEAASE SOMEONE HELP ME IM SO STUCK
finish the table using the equation y= x/2
Answers
this morning carlos enters the room late. the distance from the road from their house to the school is 100 meters but he could travel it for 50 seconds what is his speed
Answers
Answer:
2 m/s or 7.2 km/h
Step-by-step explanation:
Time = 50 seconds
Distance = 100 meters
Velocity = distance/time = 100/50 = 2 m/s or 7.2 km/h
[tex]\qquad \qquad \huge \pink {\sf{☁Answer☁}} \\ \\ [/tex]
[tex] \large \purple{ \rm{Given↦}}[/tex]
Distance by road from their house to the school is 100 m.Time Given 50 sec[tex]\rule{70mm}{2.2pt}[/tex]
[tex] \large \purple{ \rm{To \: find↦}}[/tex]
Carlos speed[tex]\rule{70mm}{2.2pt}[/tex]
[tex] \large \purple { \rm{Assumption↦}}[/tex]
let the speed be x[tex]\rule{70mm}{2.2pt}[/tex]
[tex] \large \purple { \rm{ To \: find \: speed \: we \: use↦}}[/tex]
[tex] {\boxed{ \rm{Speed= \frac{ Distance } {Time}}}}[/tex]
[tex]\rule{70mm}{2.2pt}[/tex]
[tex] \large \purple{ \rm{Substitute \: value \: according \: to \: formula. \: }}[/tex]
[tex] \large \rm{s = \frac{100}{50} }~~~~~~~~~~~~~~~~~~~~ \\ \\ \large \rm{s = \cancel \frac{100}{50} }~~~~~~~~~~~~~~~~~~~~ \\ \\ \large \rm{s = 2 m/s \: or \: 7.2km/h }[/tex]
[tex]\purple{\rule{15mm}{2.9pt}} \red{\rule18mm{2.5pt}} \orange{ \rule18mm{2.5pt}}[/tex]
[tex]\sf{\:мѕнαcкεя\: ♪...}[/tex]
If f(x) = x2 – 2, then which of the following is the value of f(3)
(1) -11
(3) -8
(2) 7
(4) 4
Answers
Answer: 7
Step-by-step explanation:
This means we substitute x=3 into f(x).
f(3) = 3^2 - 2 = 7.
Working alone, it takes Castel 12 hours to pick forty bushels of apples. Mei can pick the same amount in 10 hours. If they worked together how long would it take them?
Answers
Answer:
5.5 hours
Step-by-step explanation:
dibide by 2 one is 5 and one is 6, middle. is 5.5,
evaluate the expression when x = -6: x^2 + 7x + 8
Answers
Answer:
2
Step-by-step explanation:
Basically you plug in -6 where all the x's are.
(-6)² + 7(-6) + 8, Multiply -6 * -6 (AKA (-6)²)
36 + 7(-6) + 8, Multiply 7 by -6
36 - 42 + 8, Add 36 + 8
44 - 42, Subtract
2
PLEASE HELP!!! I am stuck!!
How do I get question c)
Answers
Answer:
When the actual temperature is -14 degrees Celsius, the wind chill equivalent temperature would be -22.2 degrees Celsius.
When the actual temperature is 3 degrees Celsius, the wind chill equivalent temperature would be 0.6 degrees Celsius.
Step-by-step explanation:
There is a + 1.2 pattern going right. So each time you increase the actual temperature by 1, you increase the wind chill equivalent temperature by 1.2
The exponential function f(x) has a positive coefficient, a base of 0.6, and a horizontal asymptote at y = 3. If g(x) = 2(x - 3), which statement is true? A. The function f(x) represents exponential growth, and the function g(x) represents exponential decay. B. The function f(x) represents exponential decay, and the function g(x) represents exponential growth. C. The functions f(x) and g(x) both represent exponential growth. D. The functions f(x) and g(x) both represent exponential decay.
Answers
Answer:i don’t know the answer the answer but it’s f
Step-by-step explanation:
someone explain how to do this please
A: square root of 96
B: square root of 48
C:square root of 16
D:8
Answers
8 squared - 4 squared = 48
The next step is getting the square root of the result. Thus revealing B as the answer.
Answer:
B. Square root of 48
Step-by-step explanation:
Using Pythagorean theorem. A^2 = B^2 + C^2
4^2 + x^2 = 8^2
16 + x^2 = 64
x^2 = 48
x = square root of 48
contractor charges $1,200 for 100 square feet of roofing installed. At this rate, how much does it cost to have 1,100 square feet installed?
Answers
Answer:
1200
Step-by-step explanation:
Answer:
$13200
Step-by-step explanation:
1200$ = 100
? =1100
(1200*1100) ÷ 100
(1 320 000) ÷100
$13200
om
9) A dog bowl has a
diameter of 17 inches. Find
the radius, area, and
circumference of the dog
bowl.
D in
Radius:
Area:
Cirum foron
Answers
Answer:
Radius: 8.5 inches
Area ≈ 226.98
Circumference ≈ 53.42
Step-by-step explanation:
2πr = formula for circumference of a circle
πr² = formula for area of a circle
radius of a circle = (1/2)d
The height, h, in feet of the tip of the hour hand of a wall clock varies from 9 feet to 10 feet. which of the following equations can be used to model the height as a function of time, t, in hours? assume that the time at t = 0 is 12:00 a.m. h = 0.5 cosine (startfraction pi over 12 endfraction t) 9.5 h = 0.5 cosine (startfraction pi over 6 endfraction t) 9.5 h = cosine (startfraction pi over 12 endfraction t) 9 h = cosine (startfraction pi over 6 endfraction t) 9
Answers
The equation can be used to model the height as a function is[tex]\rm h = 0.5\ cos(\frac{\pi}{6} t)+9.5[/tex] where t is time, the second option is correct.
What is trigonometry?Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.
We know the general equation for the cosine function:
[tex]\rm y = A\ cos(bx-c)+d[/tex]
Where A is the amplitude
We have a wall clock that varies from 9 feet to 10 feet.
The value of 'A' is given by:
[tex]\rm A = \frac{10-9}{2} \Rightarrow 0.5[/tex]
b is the cycle speed, we know:
[tex]\rm T = \frac{2\pi}{b}[/tex] (T is period)
[tex]\rm12 = \frac{2\pi}{b}[/tex]
[tex]\rm b=\frac{\pi}{6}[/tex]
The value of d is given by:
[tex]\rm d = \frac{10+9}{2}[/tex]
d = 9.5
The equation can be modeled:
[tex]\rm h = 0.5\ cos(\frac{\pi}{6} t)+9.5[/tex] (c =0 and y =h)
Thus, the equation is [tex]\rm h = 0.5\ cos(\frac{\pi}{6} t)+9.5[/tex]
Know more about trigonometry here:
brainly.com/question/26719838
Answer: B, h = 0.5 cosine (StartFraction pi Over 6 EndFraction t) + 9.5
Step-by-step explanation: edge :)
A ball is dropped from a height of 9 m. Each time it strikes the ground it bounces vertically to a height that is 2/3 of the preceding height. Find the total distance the ball will travel if it is assumed to bounce infinitely often. show all work.
Answers
Answer:
The answer i 9
Step-by-step explanation:
If the ball bounces 2/3 of the height of 9, and a 1/3 of 9 is 3, then 6 is the answer.
∠C and ∠D are complementary.
Let m∠C=(5x)° and m∠D=(7x−6)°.
What is the value of x?
Enter your answer in the box. 10 points!!
Answers
Answer:
x = 8
Step-by-step explanation:
The sum of the measures of two complementary angles is 90°.
m<C + m<D = 90°
5x + 7x - 6 = 90
12x = 96
x = 8
Write your answer as a fraction or as a whole
6
cm
4.
m
ол
52
cm
52 cm
62 cm
Answers
Answer:
Perimeter=25
Step-by-step explanation:
HOPE THIS HELPS YOU
PLIS DOY CORONA Y TODO ESO PERO PORFAA AHORITaaaaaaaaaaaaaaaaaaaaa
no te vallas :(
Answers
Answer:
n=5 x=6
Step-by-step explanation:
2n+1 +n = 16
3n+1 =16
3n=15
n=5
2x+x+x+1 =25
4x+1=24
4x=24
x=6
find the missing side length.
Answers
Use the formula shown:
6^2 + 2.5^ = c^2
36 + 6.25 = c^2
42.25 = c^2
Take the square root of both sides:
c = 13/2 as a fraction or 2.5495 as a decimal (round off as needed)
Can someone help me on this question? I Just need help with the 3rd question. Use the word bank below to answer. I’ll mark you brainliest if you answer soon!!!
Answers
Answer:
Transitive property
Step-by-step explanation:
I'm so sorry if it's wrong I took geo last year online and I still hated proofs. Transitive property is basically when x=y, y=z so x=z. since <4 and <5 are congruent and <1 and <4 are congruent, that would make <1 and <5 congruent because of the transitive property. Good luck with proofs!
Select the correct answer. robin randomly selects a number between 1 and 20. what is the probability that the number selected is the square of a natural number? a. b. c. d. e.
Answers
The probability that the number selected is the square of a natural number will be [tex]\frac{1}{5}[/tex].
What is probability?Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1.
Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.
P is the probability
F(E) is the favorable event
T(E)is the total event
The probability is found as;
[tex]\rm P = \frac{F(E)}{T(E)} \\\\ \rm P = \frac{4}{20)} \\\\ \rm P = \frac{1}{5}[/tex]
Hence the probability that the number selected is the square of a natural number will be [tex]\frac{1}{5}[/tex].
To learn more about the probability link is given below.
https://brainly.com/question/795909
Answer:
Option D is the correct answer
Step-by-step explanation:
D. [tex]\frac{1}{5}[/tex]
Pls answer
5= -5 (6n + 8)
Answers
Answer:
the value of n is -1.5
Step-by-step explanation:
I hope the question was to find the unknown.
Answer:
n= -3/2
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Exact Form:
n=−32
Decimal Form:
n=-1.5
Mixed Number Form:
n=−112
10 in.
Based on the measures shown, could the figure be a
parallelogram?
(x + 5) in.
(2x-3) in.
O Yes, one pair of opposite sides could measure
10 in., and the other pair could measure 13 in.
O Yes, one pair of opposite sides could measure
10 in, and the other pair could measure 8 in.
O No, there are three different values for x when each
expression is set equal to 10
O No, the value of x that makes one pair of sides
congruent does not make the other pair of sides
congruent
(x + 2) in
Answers
Answer: (1)
Step-by-step explanation:
A mom shared $490 between her 2 daughters in the ratio of 4 : 3 respectively. Calculate how much money is the larger share?
Answers
Step-by-step explanation:
let ratio be 4x and 3x
sum : 490$
4x+3x = 490
7x=490
x=490/7
Hence x = 70
first daughter gets = 4x =4 x 70 = 280
second daughter gets =3x = 3x 70 = 210
first daugter gets the larger share
Moses and Louis ran laps after school to train for the basketball team. The ratio of the number of laps Moses ran to the number of laps Louis ran was two to three.
If Moses ran 8 laps, how many laps did Louis run?
Answers
Step-by-step explanation: the ratio was two to three Moses ran 8 laps meaning 2 multiplied by 4 now you multiply 3 times 4 to get your answer
PLEASE HELP! DUE TODAY! TY!
Use the diagram to find the value of x and the measure of Arc MR. (MR) =(3x+19)° and (LK) =189°
Work:
x =
(MR) =
Answers
Answer: x=12, (MR)=55
Step-by-step explanation:
solve pls brainliest
Answers
Answer:
2n+22
Step-by-step explanation:
22 more than twice a number
n represents the number.
twice a number --> 2n
22 more than --> +22
2n+22
Hey there!
Guide:
• Difference means subtract/subtraction
• Product means multiply/multiplication
• Quotient means divide/division
• Sum means add/addition
• “more than”, “greater than” or “increased by” either means add/addition or >
• “less than, “smaller than”, or “decreased by” either means subtract/subtraction or <
• “unknown number” is a number we’re NOT so sure yet so we label them as variables. A variable is any letter from A to Z.
ANYWAYS, LETS ANSWER the QUESTION
“22 more than 2 twice a number”
• Since, your instructions say that “n” will be the unknown number, we should label the unknown number as that!
“22 MORE THAN twice a NUMBER”
This could be simply written as:
“22 > 2n” or even “2n + 22”
But we will just say that’s [2n + 22] would mostly fit this scenario
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Suppose that 16 inches of wire costs 48 cents at the same rate ,how many inches of wire can be bought for 39 cents?