Question

A wooden board is leaning against a house

The base of the board is 20 feet from the base
of the house, and the base of the board forms
a 35° angle with the ground
What is the length of the wooden board?
Enter your answer, rounded to the nearest
tenth, in the box

Answer 1

24.4 feet

Explanation:

Let x be the length of the wooden board as shown in the diagram.

Using trigonometry ratio, we can write

`\cos(35)=(20)/(x)`

`\implies0.819= (20)/(x)`

cross multiplying we get:

`0.819 * x = 20`

Diving through by 0.819, we obtain

`x = 24.42`

To the nearest tenth, x=24.4 feet.