KendallHouston
Answered

A board is leaning against a vertical wall. The board makes a 62° angle with the ground and touches the wall at a point that is 45 in. above the ground.

What is the length of the board, rounded to the nearest inch?

24 in.


40 in.


51 in.


96 in.

Verified Answer :

In an imaginary triangle, length of board is hypotenuse, and perpendicular is point on the wall.

So, Sin Ф = P / H
Sin 62 = 45 / H
0.882 = 45 / H   [ Sin 62 = 0.882 ]
H = 45 / 0.882
H = 51 in

In short, Your Answer would be: Option C

Hope this helps!

The length of the board, rounded to the nearest inch is; C: 51 in

What is the length of the board?

We are told that the board makes 62° angle with the ground and touches the wall at a point that is 45 in. above the ground.

This system will form a triangle with the board being the hypotenuse and height above the ground as the opposite side.

Using trigonometric ratios, we can say that;

Sin θ = O/H

Sin 62 = 45/H

0.882 = 45/H  

H = 45/0.882

H = 51 in

Read more on length of board at; https://brainly.com/question/25678463

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