Question

A 10-foot ladder placed on level ground leans against the side of a house. The ladder reaches a point that is 9.2 feet up on the side of the house.

The Occupational Safety and Health Administration (OSHA) sets standards for a variety of occupations to help prevent accidents and other safety hazards. OSHA’s standard for the angle formed by a ladder and level ground is 75° . The same 10-foot long ladder is placed against the building according to OSHA’s safety standard. What is the distance between the foot of the ladder and the foot of the building? Round your answer to the nearest tenth. Show your work.

Answer 1

a) Sin θ = 9.2/10

Θ = Sin-1 0.92

66.92608193 ~ 67 degrees

b) Sin 75 = x/10

10 sin 75 =x

10 (0.96592583) = x

X= 9.7 ft

Answer 2

A. x = sin-1()

x = 66.9 ≈ 67

x = 67°

B. x = 10 × cos(75)

x = 2.6

Hope this helps!