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

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=(adjacent)/(hypotenuse) \\ cos35=(10)/(x) \\ (cos35)x=10 \\ x=(10)/(cos35) \\ x=12.2\text{ feet} \end{gathered}`

Hence the answer is 12.2 feet