Question

A pole 4m long leans against a vertical wall. If the foot of the pole is 1m from the wall, find the angle which the pole makes with the wall.

A) 14.04 degrees
B) 15 degrees
C) 30 degrees
D) 45 degrees

Answer 1

The angle which the pole makes with the wall is approximately 75.96 degrees.

Step-by-step explanation:

To find the angle which the pole makes with the wall, we can use trigonometry. The pole, the wall, and the ground form a right triangle. The opposite side is the height of the pole and the adjacent side is the distance from the foot of the pole to the wall. Therefore, we can use the tangent function: tan(angle) = height / distance. Substituting the values, we get: tan(angle) = 4 / 1. Taking the inverse tangent of both sides, we find that angle = atan(4 / 1) = 75.96 degrees.