Solve the problem.
-A force of $670 \mathrm { lb }$ is required to pull a boat up a ramp inclined at $25 ^ { \circ }$ with the horizontal. How much does the boat weigh?
A) $645 \mathrm { lb }$
B) $1585 \mathrm { lb }$
C) $607 \mathrm { lb }$
D) $2192 \mathrm { lb }$

Question

Quizplus · Accepted Answer

The weight of the boat can be found by dividing the force required to pull the boat up the ramp by the cosine of the ramp's angle with the horizontal. This is because the force required to pull the boat is the component of the boat's weight parallel to the ramp. The weight of the boat is the hypotenuse of the right triangle formed by the weight components parallel and perpendicular to the ramp. Therefore, weight = $670 \mathrm { lb } / \cos(25^\circ) \approx 1585 \mathrm { lb }$.

Solve the Problem 670lb670 \mathrm { lb }670lb Is Required to Pull a Boat Up a Ramp Inclined

Solve the Problem $670 \mathrm { lb }$ Is Required to Pull a Boat Up a Ramp Inclined