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 F if W = 5,700 pounds and θ = 29°.Approximate the answer to one decimal place.

A)2,761.4 lb
B)2,764.4 lb
C)2,763.4 lb
D)2,765.4 lb
E)2,762.4 lb

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 F if W = 5,700 pounds and θ = 29°.Approximate the answer to one decimal place.
​
A)2,761.4 lb
B)2,764.4 lb
C)2,763.4 lb
D)2,765.4 lb
E)2,762.4 lb

Quizplus · Accepted Answer

The force required to pull an object up an inclined plane is given by the formula $F = W \sin(\theta)$, where $F$ is the force in pounds, $W$ is the weight of the object in pounds, and $\theta$ is the angle of inclination in degrees. For $W = 5,700$ pounds and $\theta = 29^\circ$, we calculate $F = 5,700 \times \sin(29^\circ)$. Using a calculator, $\sin(29^\circ) \approx 0.4848$, so $F \approx 5,700 \times 0.4848 \approx 2,763.36$ pounds, which rounds to $2,763.4$ pounds.

A Force of F Pounds Is Required to Pull an Object