Question

A wooden board is leaning against the 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. What is the length of the wooden board ?enter your answer rounded to the nearest 10th. In feet

Answer 1

SOLUTION

From the diagram above, the length of the wooden box is given as x, so we have to find x.

We will use SOHCAHTOA to find x.

From the right-triangle above, the hypotenuse is x and the adjacent side is 10.

So we have that CAH

$\begin{gathered} cos35\degree=\frac{adjacent}{hypotenuse} \\ cos35=\frac{10}{x} \\ (cos35)x=10 \\ x=\frac{10}{cos35} \\ x=12.2\text{ feet} \end{gathered}$

Hence the answer is 12.2 feet