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. What is the length of the wooden board? Enter your answer, rounded to the nearest tenth, in the box.

Answer 1

12.2 ft

Step-by-step explanation:

just took the test! :D

Answer 2

`L = 12.2 feet`

Step-by-step explanation:

Let the length of the board is L

now if its base is of length 10 feet

and it makes and angle of 35 degree with the ground

so here the horizontal component of the length of the board must be equal to the base

`x = L cos35`

`10 = L cos35`

`L = (10)/(cos35)`

`L = 12.2 feet`