Question

A twelve-foot ladder is leaning against a wall. If the ladder reaches ft high on the wall, what is the angle the ladder forms with the ground to the nearest degree?*

Answer 1

This question is incomplete.

Complete Question

A twelve-foot ladder is leaning against a wall. If the ladder reaches eight ft high on the wall, what is the angle the ladder forms with the ground to the nearest degree?*

Answer:

42°

Step-by-step explanation:

From the question, the diagram that is formed is a right angle triangle.

To solve for this, we would be using the trigonometric function of Sine.

sin θ = Opposite side/ Hypotenuse

From the question, we are told that:

12 foot ladder is leaning against a wall = Hypotenuse

The ladder reaches 8ft high on the wall = Opposite side.

Hence,

sin θ = 8ft/12ft

θ = arc sin (8ft/12ft)

= 41.810314896

Approximately to the nearest degree

θ = 42°

Therefore, the angle the ladder forms with the ground to the nearest degree is 42°