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Alexxandr [17]
3 years ago
7

A 400 foot rope is extended from the ground to the top of a building. The building is 35 ft tall. What is the angle made by the

rope with respect to the ground?
Mathematics
1 answer:
velikii [3]3 years ago
3 0

Answer:

The angle is 5.0^{0}.

Step-by-step explanation:

The building is 35 feet tall, and the rope is 400 feet long.Applying the trigonometric function, we have;

Sin θ = \frac{opposite}{hypotenuse}

The height of the building represents the opposite side, while the length of the rope represents the hypotenuse. Thus;

Sin θ = \frac{35}{400}

Sin θ = 0.0875

θ = Sin^{-1} 0.0875

  = 5.02^{0}

The angle made by the rope with respect to the ground is approximately 5.0^{0}.

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