Question

A wooden board is leaning against a house. The base of the board is 10 feet from the base of the house, and the base of the board forms a 35° angle with the ground.

Answer 1

`12.2\ ft`

Explanation:

see the attached figure to better understand the problem

we know that

`cos(35\°)=(AC)/(AB)`

The length of the wooden board is AB

`AB=AC/cos(35\°)`

we have

`AC=10\ ft`

substitute

`AB=10/cos(35\°)=12.2\ ft`