Question

A cylindrical drum is unloaded from a truck by rolling it down along a wooden plank. The length of the plank is 10 m and it is making an angle of 10° with the horizontal ground. Find the height from which the cylindrical drum was rolled down. Give your answer correct to 3 significant figures.

Answer 1

Given: Plank length = 10.0 m, incline angle = 10.0°.

Step-wise calculation:

1. Vertical height h = (plank length) × sin(angle)

= 10.0 × sin(10.0°)

2. sin(10.0°) ≈ 0.1736481777

3. h = 10.0 × 0.1736481777

= 1.736481777 m

Height ≈ 1.74 m to 3 significant figures.