Question

A ladder is leaning against a house at an angle of 35° at the roof line. The base of the ladder is 8 feet from the house. How long is the ladder to the nearest whole foot? Use a calculator if needed.

A. 27 feet

B.43 feet

C. 8 feet

D. 14 feet

E. 35 feet

Answer 1

D

Explanation:

Remark

What you are trying to solve for is the hypotenuse of a right triangle. You will use the sine to do it.

Givens

Base = 8 feet

angle = 35 degrees

hypotenuse = ?

Formula

Sin(35) = base / hypotenuse

Solution

Sin (35) = 8 / hypotenuse Multiply both sides by the hypotenuse

hypotenuse * sin(35) = hypotenuse * 8/hypotenuse

hypotenuse * sin(35) = 8 Divide by sin(35)

hypotenuse = 8/sin(35) Substitute value of sin(35)

hypotenuse = 8 / 0.5736

hypotenuse = 13.94

Answer

The ladder is about 14 feet long or D