Question

A ladder leans against the wall of a

building. The ladder measures
71 inches and forms an angle of 64 with the ground. How far from
the ground, in inches, is the top of the ladder? How far from the
wall, in inches, is the base of the ladder? Round to two decimal
places as needed.

Answer 1

We can use trigonometry to solve this problem. Let's call the distance from the ground to the top of the ladder "h" and the distance from the wall to the base of the ladder "x". Then we have:

sin(64) = h/71

cos(64) = x/71

Solving for h and x, we get:

h = 71 sin(64) ≈ 63.85 inches

x = 71 cos(64) ≈ 32.13 inches

Therefore, the distance from the ground to the top of the ladder is approximately 63.85 inches, and the distance from the wall to the base of the ladder is approximately 32.13 inches.

Answer 2

63.81 inches

Explanation: