Question

A force of F pounds is required to pull an object weighing W pounds up a ramp inclined at θ degrees from the horizontal. Find θ if F = 5500 pounds and W = 16,000 pounds. (Round your answer to one decimal place.)

Answer 1

Answer:

The value of θ is 20.105°

Step-by-step explanation:

Consider the provided information.

A force of F pounds is required to pull an object weighing W pounds up a ramp inclined at θ degrees from the horizontal.

Sine of angle is force over weight.

$\sin\theta=\frac{F}{W}$

Substitute F = 5500 pounds and W = 16,000 pounds in above formula.

$\sin\theta=\frac{5500}{16000}$

$\sin\theta=\frac{11}{32}$

$\theta\approx20.105$

Hence, the value of θ is 20.105°