QuestionJuly 18, 2025

A magnitude of 600 pounds of force is required to hold a boat and its trailer in place on a ramp whose incline is 9^circ to the horizontal. What is the combined weight of the boat and its trailer? Find the combined weight of the boat and its trailer square lb (Round to the nearest pound as needed.)

A magnitude of 600 pounds of force is required to hold a boat and its trailer in place on a ramp whose incline is 9^circ to the horizontal. What is the combined weight of the boat and its trailer? Find the combined weight of the boat and its trailer square lb (Round to the nearest pound as needed.)
A magnitude of 600 pounds of force is required to hold a boat and its trailer in place on a ramp whose incline is 9^circ  to
the horizontal. What is the combined weight of the boat and its trailer?
Find the combined weight of the boat and its trailer
square  lb
(Round to the nearest pound as needed.)

Solution
4.0(274 votes)

Answer

3840 Ib Explanation 1. Identify the force component The force required to hold the boat is the component of weight parallel to the ramp. Use F = W \cdot \sin(\theta). 2. Solve for weight Rearrange the formula to find weight: W = \frac{F}{\sin(\theta)}. Substitute F = 600 pounds and \theta = 9^{\circ}.

Explanation

1. Identify the force component<br /> The force required to hold the boat is the component of weight parallel to the ramp. Use $F = W \cdot \sin(\theta)$.<br />2. Solve for weight<br /> Rearrange the formula to find weight: $W = \frac{F}{\sin(\theta)}$. Substitute $F = 600$ pounds and $\theta = 9^{\circ}$.
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