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monitta
3 years ago
7

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.)
Mathematics
1 answer:
Pie3 years ago
5 0

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°

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