Question

a ladder is leaning against a wall. the base of the ladder is 8 feet from the wall, and the top of the ladder is at a height of 10 feet. what is the angle from the ground to the top of the ladder? round your answer to the nearest degree

Answer 1

To find the angle from the ground to the top of the ladder, we can use the trigonometric function tangent.

Tangent is defined as the ratio of the opposite side to the adjacent side in a right triangle. In this case, the opposite side is the height of the ladder (10 feet) and the adjacent side is the base of the ladder (8 feet).

So, we can use the formula tangent(angle) = opposite/adjacent to find the angle.

Tangent(angle) = 10 feet / 8 feet
Tangent(angle) = 1.25

To find the angle, we need to inverse tangent or arctan of 1.25.

angle = arctan(1.25)
angle ≈ 51.34 degrees

Therefore, the angle from the ground to the top of the ladder is approximately 51 degrees.