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

Answer 1

Answer: 12.20 feet.

Step-by-step explanation:

Observe in the figure attached that a right triangle is formed.

Then, you  need to remember the identity:

$cos\alpha=\frac{adjacent}{hypotenuse}$

In this case you can identify that:

$adjacent=10\\hypotenuse=x$

$\alpha=35\°$

Then, to find the length of the wooden board (x), you need to substitute values and solve for x.

Therefore, you get:

$cos(35\°)=\frac{10}{x}\\\\(x)(cos(35\°))=10\\\\x=\frac{10}{cos(35\°)}\\\\x=12.20$

The length of the wooden board is: 12.20 feet.