A flagpole casts a 40-foot shadow. The angle of elevation from the tip of the
shadow to the tip of the flagpole is 34. How tall is the flagpole? Round your
answer to the nearest foot.
A. 29 feet
B. 22 feet
C. 27 feet
D. 33 feet
Answers
Answer:
27 Feet is the answer. Option C.
The flagpole is 27 feet tall.
What is right triangle?"It is a triangle whose one of the angle measures 90° "
What is tangent of angle?For angle [tex]\theta[/tex], [tex]tan(\theta)=\frac{opposite ~side~of~angle~\theta}{adjecent~side~of~angle~\theta}[/tex]
What is angle of elevation?"An angle that is formed between the horizontal line and the line of sight. "
For given question,
Consider the following diagram.
Here, AB = the flagpole,
A flagpole casts a 40-foot shadow.
so, BC = 40 foot
The angle of elevation from the tip of the shadow to the tip of the flagpole is 34°.
⇒ ∠ACB = 34°
We need to find the height of the flagpole.
We find the tan of angle 34°
[tex]\Rightarrow tan(34)=\frac{AB}{BC}\\\\ \Rightarrow 0.6745=\frac{AB}{40}\\\\\Rightarrow AB=0.6745\times 40\\\\\Rightarrow AB = 26.98\\\\\Rightarrow AB\approx 27~feet[/tex]
Therefore, the flagpole is 27 feet tall.
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Related Questions
Find the first four terms of the sequence given by the following.
an = 42-8(n-1), n=1, 2, 3....
Answers
Answer:
21
Step-by-step explanation:
its correct
What is the slope of the line 4y = 8x+ 3 ?
Answers
Answer:
[tex]2[/tex]
Step-by-step explanation:
[tex]4y=8x+3[/tex]
To identify the slope of the line, the equation must be in the format [tex]y=mx+b[/tex], in which [tex]m[/tex] is representative of slope.
Begin by dividing both sides of the equation by the coefficient of [tex]y[/tex], which is [tex]4[/tex]:
[tex]y=2x+\frac{3}{4}[/tex]
[tex]m=2[/tex]
Therefore, the slope of the line is 2.
-
You can check your work by graphing, and identifying the "rise over run", of the graph. This can be done by counting the distance from one point your graph to another.
What's $33.99 rounded to the nearest $1, $5 and $10
Answers
Answer:
Nearest $1: $34
Nearest $5: $35
Nearest $10: $30
Answer:
rounded to the nearest one is $40
Step-by-step explanation:
help me please i need this answered fast
Answers
Answer:
Step-by-step explanation:
the one on the bottom because
the orientation of the points do not change
Brainliest if correct please help
Answers
Answer:
H - 20
Step-by-step explanation:
Answer:
H) 20 cm.
Step-by-step explanation:
The small trapezoid is two times smaller than the large trapezoid. So, you would do 40/2 to get 20 for d.
Hope it helps!
f(−1)=8 and f(5)=6
Write a linear equation in slope intercept form with the values:
Answers
9514 1404 393
Answer:
y = -1/3x +(7 2/3)
Step-by-step explanation:
The 2-point form is a good place to start.
y = (y2 -y1)/(x2 -x1)(x -x1) +y1
y = (6 -8)/(5 -(-1))(x -(-1)) +8
y = -2/6(x +1) +8
y = -1/3x +(7 2/3)
help me plz ITS URGENT
Answers
Answer:
H
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
3x + 2y = 19 ( subtract 3x from both sides )
2y = - 3x + 19 ( divide all terms by 2 )
y = - [tex]\frac{3}{2}[/tex] x + [tex]\frac{19}{2}[/tex] ← in slope- intercept form
with slope m = - [tex]\frac{3}{2}[/tex]
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-\frac{3}{2} }[/tex] = [tex]\frac{2}{3}[/tex] → H
Write the expression below in simplest form.
3(5x+7)+7x-2
Answers
The expression 22x + 19 is the simplified form of the given expression which is determined by the distributive property of multiplication.
What is the expression?Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.
The expression is given below as:
3(5x + 7) + 7x - 2
Apply the distributive property of multiplication,
3 × 5x + 3 × 7 + 7x - 2
15x + 21 + 7x - 2
Combine the likewise terms in the above expression,
22x + 19
Thus, the simplified expression is:
22x + 19
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Which of the following expressions are equivalent to 8 3/2?
Answers
Answer:
The answer is c and e :D Step-by-step explanation:
Answer: C, E
Step-by-step explanation:
Which pair of triangles can be proven congruent by SAS?
A
Answers
the second one
EXPLANATION: the dash lines show the congruent sides & the half circle shows the angle connecting the two sides
Need help to solve this question- The highlighted one is incorrect
Answers
Answer:
16 might be correct but don't quote me on this...
Step-by-step explanation:
104-88=16
let me know if this is correct, Thanks! :-)
Answer:
C
Step-by-step explanation:
We can use the Pythagorean theorem [ a² + b² = c² ] to solve for the missing side length.
88² + b² = 104²
7744 + b² = 10816
b² = 3072
√b = √3072
b ≈ 55.43
Best of Luck!
Given the point slope equation y – 190 = 22(x-19) convert it to slope intercept form
Answers
Answer:
Y = mx + b
Y = 22x + 190
M is the slope
Y is the y intercept
kira runs 4 miles in 30 minutes. at the same rate, how many miles would she run in 48 minutes?
Answers
Answer:
13
Step-by-step explanation:
Please I need helppp
A)the vertex is (0,15)
B)h=2 and k=3
C)h=3 and k=2
D) (2,3) can be used as the extra point
E) the value in the equation is positive
F) the value in the equation is negative
Answers
Answer: ksbddbcxkdbdijc
Step-by-step explanation:
i have 10 minss Type the correct answer in each box. If necessary, use / for the fraction bar(s).
Find the solution for this system of equations.
12x + 15y = 34
-6x + 5y = 3
x =
y =
Answers
Answer:
x=2 y=-1
Step-by-step explanation:
I cant really explain this but this is the answer if u are unsure pls comment in the box thank you
Solve -3n+2≥-4n-3............
Answers
Answer:
It is a two step equation
Step-by-step explanation:
First you have to solve the first part then solve the second part :)
Answer:
n ≥ − 5
Step-by-step explanation:
Move all terms containing
n to the left side of the inequality.
n + 2 ≥ − 3
Move all terms not containing
n to the right side of the inequality.
n ≥ − 5
The result can be shown in multiple forms.
Inequality Form: n ≥ − 5
interval Notation: [ − 5 , ∞ )
what does y equal? ahhhhh
Answers
Answer: Look below.
y = 3x + 12
Find the output y, when the input,x, is 6
Answers
Answer:
0
Step-by-step explanation:
When x is at 6 y is at 0
If we know the area of this base, we'll know how many cubes can fill the bottom layer. We can find the area of the rectangle
by multiplying the length times the width. Help me out.
The base of the prism is a rectangle with a length of 6 inches and a width of 4 inches.
Find the area of the base.
3 inches
4 inches
(width)
4 inches
6 inches
6 inches
(lenght)
Area = length x width
square inches
Answers
Answer:
24
Step-by-step explanation:
can someone help me please and thank you
Answers
Answer:
what are you looking for? Like the question?
Step-by-step explanation:
y=1/2(x+2)-4
if it’s multiple choice and this is an option then choose that
What is the recursive rule for the
sequence -3,-1, 1, 3...?
A f(1) = -3; f(n)=n+2
B f(1) = 3; f(n) = 2(n-1)
C (1)=-3; f(n)=f(n-1) + 2
Answers
HELPPPPPPP ............ please.
Answers
Answer:
B) 1/3
Step-by-step explanation:
Add up all the marbles
5 + 6 + 3 + 4 = 18 marbles
Make a fraction of the red marbles out of all the marbles
6/18
Simplify the fraction
1/3
Answer:
b
Step-by-step explanation:
chances of drawing a red is 6/18
6/18=1/3, so its B
what will the answer be for :
-2.25x+8.75x+10-20
Answers
Answer:
-3.5
Step-by-step explanation:
If you use PEMDAS:
-2.25x + 8.75x = 6.5x
Then,
10-20= -10
Add the 2 and:
6.5+ -10= -3.5
How do i (F)ind the (R)atio in the( E ) probl(E)m ...points
Answers
Answer:
To find the ratio you have to.....
Step-by-step explanation:
That was smooth. Thank you, have a nice day and happy holidays.
Answer:
ty
Step-by-step explanation:
I got this incorrect there are 2 answers not one please list correct answers
Answers
Answer:
im not sure but the answer might be the 3rd and 5th option if it isnt then tell me
Step-by-step explanation:
Have a great day everyone :)
Answer:
2 and 4
Step-by-step explanation: 4 because it is the average
A bag of marbles contains 5 red marbles, 5 green marbles, 5 yellow marbles and 5 blue marbles. If Mya takes one marble at a time at random, what is the probability that she takes out a red marble the first time and a green marble the second?
Answers
Answer:
The probability that she takes out a red marble the first time and a green marble the second
P(E₁ ∩ E₂ ) = P(E₁) P(E₂)
[tex]= \frac{5 X 5}{20} = \frac{25}{20} = \frac{5}{4} ways[/tex]
Step-by-step explanation:
Step(i):-
Given a bag of marbles contains 5 red marbles, 5 green marbles, 5 yellow marbles and 5 blue marbles
Total balls n(S) = 5red +5green +5yellow + 5blue = 20
Total numbers cases
n(S) = 20C₁ = 20 ways
Step(ii):-
Let E₁ be the event of drawing one red marble from 5 red balls
n(E₁) = 5C₁
Let E₂ be the event of drawing one green marble from 5 green balls
n(E₂) = 5C₁
The two events are independent events
P(E₁ ∩ E₂ ) = P(E₁) P(E₂)
=[tex]= \frac{5 X 5}{20} = \frac{25}{20} = \frac{5}{4} ways[/tex]
Final answer:-
The probability that she takes out a red marble the first time and a green marble the second
P(E₁ ∩ E₂ ) = P(E₁) P(E₂)
=[tex]= \frac{5 X 5}{20} = \frac{25}{20} = \frac{5}{4} ways[/tex]
f(x) = 4x² + 19x – 5
What are the x intercepts
Answers
A cable television repairman charges $35 to go to a customer’s home. He charges an additional $20 per hour for the repair. Petra paid the repairman a total of $85 to come to her home and make a repair. How many hours did it take for the repairs?
Answers
Answer: It took 2 and a half hours for the repairs
Step-by-step explanation:
subtract 35 dollars from the total payed of 85 dollars you're left with 50 dollars we know the repairman charges and extra 20 dollars for every hour he's doing the repairs divide the 50 dollars more she had to pay and divide it by the 20 dollars he charges per every hour he's making repairs and you'll get 2.5 hours
The number of hours used for the repair is 2 1/2 hours.
Let the number of hours used for the repair be represented by h
Based on the information given, the equation to solve the question will be:
35 + (20 × h) = 85
35 + 20h = 85
Collect like terms
20h = 85 - 35
20h = 50
Divide both side by 20
20h/20 = 50/20
h = 2.5 hours
In conclusion, it took 2 1/2 hours for the repair.
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https://brainly.com/question/22067581
Susie is selling candy for a school fundraiser. She sells candy bars for $1.50 and packs of gum for $1.25. Her
goal is to raise $200. If she has 150 pieces of candy, how many packs of gum will she need to sell?
Answers
Answer:100 packs of gum
We take the gum that she have is X
we have the equation X x 1.25+ (150-X) x 1.5=200
=> x =100
A steel ball is traveling through water with a speed of x meters per second, where x is positive. The drag force, F, in newtons, N, is: F = 0.5 + 0.004(x + 50)(x-2.5). At what speed in meters per second does the ball have a force of 0.5 N, on it?
Answers
Answer:
x = 2.5m/s.
Step-by-step explanation:
Given that F = 0.5 + 0.004(x + 50)(x – 2.5), where x is the speed in m/s and F is the force in N. To know the speed, x, with F = 0.5N, we have:
0.5 = 0.5 + 0.004(x + 50)(x – 2.5)
This gives
0.004(x + 50)(x – 2.5) = 0 (after adding –0.5 to both sides).
For the multiplication to be 0, (x + 50)(x – 2.5) = 0 because 0.004 is not equal to 0.
Hence
x = –50 or x = 2.5
Since it is said from the question that x is positive then x = 2.5m/s.