A 17 -ft ladder leans against a building so that the angle between the ground and the ladder is 75 ∘ . How high does the ladder reach on the building?

Answers

Answer 1

Answer:

The height of the building is 16.42 ft

Step-by-step explanation:

Given;

length of the ladder, = 17 ft

angle  between the ground and the ladder, θ = 75°

Construct this triangle, the ladder forms the hypotenuse side of the right angle triangle, the height of the triangle is the opposite side of the triangle while the base of the triangle is the adjacent side of the triangle.

Apply the following trig-ratio to determine the height of the triangle;

[tex]sin \theta = \frac{opp}{hypo}\\\\ sin (75^0) = \frac{h}{17}\\\\h = 17sin (75^0) \\\\h = 16.42 \ ft[/tex]

Therefore, the height of the building is 16.42 ft


Related Questions

15 points!!! Additive inverse is when two numbers have a sum of:

Answers

When two numbers have a sum of 0
0
You want your numbers to add up and have a sum of zero

Marcus said the product of 7/8 × 1 3/4 is 9/4.

How can you tell that his answer is wrong?

Answers

Gravity simply does not allow that

Find the slope of the line through
3) (-1, 17). (6, 12)

Answers

slope = 0.75 or -5/7

HELP ME PLEASE!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

[tex]Point A = (-\frac{1}{2}, -\frac{1}{4})[/tex]

[tex]Point B = (-2\frac{1}{2},1\frac{1}{2} )[/tex]

[tex]Point C = (\frac{1}{4},\frac{1}{2})[/tex]

Are the lines perpendicular? x = 3 and y = 5 *

Answers

perpendicular line

Step-by-step explanation:

HELP!!!
write the linear equation of the given table

Answers

Answer: y = 1.5x + 3

Step-by-step explanation:

1. Order the set of integers {-3, 0, -6,4} from greatest to least.

Answers

Answer:

Greatest     4 > 0 > -3 > -6     Least

General Formulas and Concepts:

Number line

Step-by-step explanation:

Negative numbers are always going to be the smallest while positive numbers will be the greatest

Answer:

4,0,-3,-6

Step-by-step explanation:

integer means a number which is not a fraction. So 4 is the greatest ,because it is positive.Then 0.Then -3 then -6 'cause there negative.

Kendall is making greeting cards, which she will sell by the box at an arts fair. She paid $40
for a booth at the fair, and the materials for each box of cards cost $5. She will sell the cards
for $10 per box of cards. At some point, she will sell enough cards so that her sales cover her
expenditures. How many cards will that take?

Answers

Answer:

9

Step-by-step explanation:

40 dollars due up front

10 dollars made per sale

5 dollars lost per creation

Realistically speaking she is only making a $5 profit per box she sells;

$5 used up for material cost, $10 made from sales -5+10= 5

To pay the $40 dollar for the booth she would need to make 9 sales with her current profit

40/5 = 9

Channing earns $13.50 per hour at his job. During one week, he worked a total of 2012hours. He deposited $190.00 in the bank and decided to use the rest of is money to buy shirts for work. If each shirt costs $8.50, what is the most amount of shirts Channing could buy?

Answers

Answer:

3173

Step-by-step explanation:

13.50*2012=27,162-190=26,972/8.50=3173

Is there a proportional relationship between x and y? Explain.
х
8
10
12
14
у
5
7
9
11
A.
No, all ratios
are not equivalent.
B. Yes, each x value and y value increases by 2.
C. Yes; the difference between each x value and y value is 3.
D.
No, all ratios
are greater than 1.

Answers

Answer:

B. Yes, each x value and y value increases by 2.

A line passes through the point (4, –6) and has a slope of Negative three-fourths. Which is the equation of the line?
y = negative three-fourths x minus 3
y = negative three-fourths x minus 6
y = negative 3 x minus three-fourths
y = negative 6 x minus three-fourths

Answers

Answer:

Option A

Step-by-step explanation:

The equation of line is

Solution:

Given that line passes through the point (4, –6) and has a slope of Negative three-fourths

Given point is (x, y) = (4, -6)

The equation of line passing through point (x, y) and slope "m" is given as:

y = mx + c ----- eqn 1

Where "m" is the slope of line and "c" is the y - intercept

Substitute (x, y) = (4, -6) and  in eqn 1

The required equation of line is given as:

Thus the equation of line is found

Answer:

a

Step-by-step explanation:

All of the following are equivalent EXCEPT x < 2 x - 2 < 4 2x < -4 x - 2 < -4

Answers

Answer:

solution

x<2,2x<-4,x-2<-4 are equvalent

but x-2<4 is not

Which expression is a difference of cubes?

Answers

Answer:

[tex](x-y)(x^2+xy++y^2)[/tex]

Step-by-step explanation:

[tex]Proof :\\(x-y)(x^2+xy+y^2)\\=(x^3+x^2y+y^2x-x^2y-xy^2-y^3)\\=x^3-y^3[/tex]

Answer:

It would be D

Step-by-step explanation:

Got it right on Edge 2021

120% is 24 whats the answer and how?

Answers

Answer:

Step-by-step explanation:

So the answer is 20.

24 ÷120%=24÷(120÷100)=(100 x 24) ÷120=2,400÷120=20

Hope this helps ∞<3

help me please it's due at 2:30​

Answers

Answer:

i have the same doubt

Step-by-step explanation:

HURRY!! A climber is on a hike. After 2 hours he is at an altitude of 400 feet. After 6 hours he is at an altitude of 700 feet. What is the rate of change.

Answers

Answer:

175ft an hour

Step-by-step explanation: lets say t=hours

so 2t=400ft and 6t=700ft

the difference between hours is 4 because 6-4=2

so we would multiply 4 by ?

to get the missing # you would have to multiple 4 by numbers between 170 and 190 because anything under 170 is no where near 175 and anything above 190 is way off 175. Answer is 175ft per hour

Answer:

total distance =700+400ft

time =2+8 =10hour

rate =distance/time=1100/10=110 ft/hour

since he stops two times

rate of change =110/2=75ft/hour

8x + 7(2-3x) = -6(2x + 5)

Answers

Answer:

x = 44

Step-by-step explanation:

8x + 7(2-3x) = -6(2x + 5)

8x + 14 -21x = -12x - 30

-13x + 14 = -12x - 30

-x + 14 = -30

-x = -44

x = 44

what is the domain of the graphed function?

Answers

Answer:

Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.

Step-by-step explanation:

The domain is all the input values on the X axis

Simplify 3x + 5y + 10x + 6y

Answers

Answer:

13x + 11y

Step-by-step explanation:

3x and 10x both have x so we can add them

5y and 6y both have y so we add 5 and 6

Translate point B (3,-2) 5 units left and 4 units up. What are the coordinates of the new image?

Answers

-2,2
When something is moved to the left of right u change the “X” value, when something is moved up or down the change the “Y” value
If you don’t know what value is which (X,Y)

Okay yes I know it's messy it was a long stressful day lol so just check the last two, are they written right? are they even right? Thanks so much love you guys!!!!!!

Answers

Answer:

Yes

Step-by-step explanation:

Yes it is

No 1 is correct

No 2 is correct

No 3 is correct

No 4 is correct

and what i mean by correct is you answered it correct

I hope this helps you :)

Answer:

yes

Step-by-step explanation:

yes it is

it is all correct

1. what is the degree of the polynomial equation 6x⁴ -3x²+2x⁵-4x³+5x-7?
2. what is the standard form of the polynomial equation
x (x-2)(x+2) = 0?
3. Find the polynomial equation with roots 1/2 and 2/3?​

Answers

Answer:

1. The degree is 4

2. x^3 - 4x =0

3. x-1/2=0        x-2/3=0

Brainliest Please, I did the work for u!

Answer:

hope it helps hehe

im Portuges

:))

1.4

x-1/2=0

Which statement explains how to determine if triangle ABC is similar to triangle XYZ?

Answers

Answer:

It is the last one

Step-by-step explanation:

There aren't enough angles

the last one, the angle measures do not add up

Find the slope of the line through the given points: (1, 5) & (4, 7).

Answers

Answer:

[tex]\frac{2}{3}[/tex]

Step-by-step explanation:

Find slope using the slope formula:  [tex]\frac{y2-y1}{x2-x1}[/tex]

Plug in the given points : [tex]\frac{7-5}{4-1}[/tex]

Calculate by subtracting the numbers : [tex]\frac{2}{3}[/tex]

Solution : [tex]\frac{2}{3}[/tex]

The larger of two numbers is fourteen more than twice the smaller number. If the sum of the numbers is 41, find the two numbers. Write your answer as two numbers separated by a comma.

Answers

Answer:

x+y=41

x=2y+14

by solving eq

2y+14+y=41

y=27

×=68

Write an equation in slope-intercept form that passes through the point (−4,−5) and has a slope of 3/4

Answers

Answer:

It is A

Step-by-step explanation:

Answer:*******************brainliest

Answers

Answer:

How is your day going lol

Step-by-step explanation:

was this supposed to be a question lol>

PLEASE HELP ASAP
50 POINTS BRAINLIEST

find the perimeter of the square

Answers

Answer:

9 inches

Step-by-step explanation:

We see all sides are the same length:

4x+3=3(2x-5)

4x+3=6x-15

18=2x

x=9

Therefore 9 inches.


it is expected that 563 quadrillion thermal units of Btu (British thermal units) of energy will be
consumed worldwide in 2015. In 2003, worldwide consumption was 421 quadrillion Btu. What is the
expected rate of change in consumption from 2003 to 2015? (what is rate of change?)

Answers

Answer:

the expected rate of change in consumption is 11.83

Step-by-step explanation:

The computation of the expected rate of change in consumption is shown below:

= (Expected quadrillion thermal units - 2003 quadrillion thermal units) ÷ (difference in years)

= (563 - 421) ÷ (2015 - 2003)

= 142 ÷ 12

= 11.83

hence, the expected rate of change in consumption is 11.83

We simply applied the above formula so that the correct value could come

And, the same is to be considered

help plz it due today

Answers

Answer:

Point A  - 1/2 and - 1/4

Point B  - 2 1/2 and 1 1/2

Point C 1/4 and 1/2

Step-by-step explanation:

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