Question

What angle does the 22-foot ladder make with the ground when it goes 16 feet up a wall?

a) 38.7 degrees
b) 45.0 degrees
c) 51.3 degrees
d) 60.0 degrees

Answer 1

The angle the 22-foot ladder makes with the ground when it goes 16 feet up a wall is approximately 38.7 degrees.

Step-by-step explanation:

To find the angle the 22-foot ladder makes with the ground when it goes 16 feet up a wall, we can use trigonometry.

The ladder, the wall, and the ground form a right triangle. The ladder is the hypotenuse, the distance up the wall is the opposite side, and the distance along the ground is the adjacent side.

Using the trigonometric function tangent, we can calculate the angle:

tan(theta) = opposite/adjacent

tan(theta) = 16/22

theta = arctan(16/22)

theta ≈ 38.7 degrees

Therefore, the angle the ladder makes with the ground is approximately 38.7 degrees.