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College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300

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BuyFindarrow_forward

College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300
Textbook Problem

A high fountain of water is located at the center of a circular pool as shown in Figure P1.47. Not wishing to get his feet wet, a student walks around the pool and measures its circumference to be 15.0 m. Next, the student stands at the edge of the pool and uses a protractor to gauge the angle of elevation at the bottom of the fountain to be 55.0°. How high is the fountain?

images

Figure P1.47

To determine
The height of the fountain.

Explanation

Given Info: The circumference of the circular pool (C) is 15m and the radius of the circular pool (r) is 2.39m .

Explanation:

The radius of the circular pool (r) .

Formula to calculate the radius of the circular pool is,

C=2πr

  • C is circumference of the circular pool,
  • r is radius of the circular pool

Substitute 15m for C to find r .

(15m)=2πrr=2.39m

Thus, the radius of the circular pool (r) is 2.39m

The height of the fountain (h)

And the angle θ is 55°

The diagram is given by,

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