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.

Question

asked Jul 28, 2018 133k views

1 Answer

Eimear · Answer 1 · 2018-08-03T13:45:03+0000

Answer:

$12.2\ ft$

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

$AB=10/cos(35\°)=12.2\ ft$