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.)

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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.

[tex]\sin\theta=\frac{F}{W}[/tex]

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

[tex]\sin\theta=\frac{5500}{16000}[/tex]

[tex]\sin\theta=\frac{11}{32}[/tex]

[tex]\theta\approx20.105[/tex]

Hence, the value of θ is 20.105°