Question

A ladder rests against a wall, the foot being 1.5m from the wall and the top being 4m above the ground. Find the angle which the ladder makes with the ground.

Answer 1

The angle that the ladder makes with the ground is approximately 72.3 degrees.

Step-by-step explanation:

To find the 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 height of the triangle is 4m and the base is 1.5m. To find the angle, we can use the inverse tangent function (tan-1). So, the angle θ is equal to tan-1(4/1.5).

Using a calculator, we get θ ≈ 72.3°.

Therefore, the angle that the ladder makes with the ground is approximately 72.3 degrees.