Question

A 28-foot ladder is leaning against a house. The bottom of the ladder is 6 feet from the base of the house. Find the measure of the angle formed by the ladder and the ground, to the nearest degree.

Answer 1

A 28-foot ladder is leaning against a house. The bottom of the ladder is 6 feet from the base of the house. Find the measure of the angle formed by the ladder and the ground, to the nearest degree.

Answer 2

Answer: 78°

Explanation:

From the question above, we can deduce that;

adjacent = 6 hypotenuse=28

cosθ = adjacent/hypotenuse

cosθ = 6/28

cosθ = 0.214286

θ = arc cos(0.214286)

θ= 77.628

θ=78° to the nearest degree