Question

A 5.2 m long ladder is leaning against a wall. The wall stands perpendicular to the ground. The base of the ladder is 1.7 m away from the wall. Work out the size of the acute angle that the ladder makes with the ground. Give your answer in degrees to 1 d.p.​

Answer 1

Step-by-step explanation:

The Answer comes as

Theta Angle = 71.33°

Answer 2

The acute angle that the ladder makes with the ground is approximately 73.4 degrees.

Step-by-step explanation:

To find the acute angle that the ladder makes with the ground, we can use trigonometry. We have a right triangle formed by the ladder, the wall, and the ground. The side opposite the angle we want to find is the height of the ladder (5.2 m) and the side adjacent to the angle is the distance of the ladder's base from the wall (1.7 m).

Using the tangent function, we can calculate the angle:

tan(angle) = height/base

tan(angle) = 5.2/1.7

angle = tan⁻¹(5.2/1.7)

Using a calculator, we find that the angle is approximately 73.4 degrees.