A high fountain of water is located at the center of a circular pool as in Figure P1.41. Not wishing to get his feet wet, a student walks around the pool and measures its circumference to be 34.0 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?

asked by David Ayo

10 years ago

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2 answers

Tan 55=height/radius
Circumf=2PI Radius or
radius=34/2PI

height= 34/2PI * tan 55

answered by bobpursley

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76

answered by Anonymous

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Question

A high fountain of water is located at the center of a circular pool as in Figure P1.41. Not wishing to get his feet wet, a student walks around the pool and measures its circumference to be 34.0 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?

2 answers

Tan 55=height/radius
Circumf=2PI Radius or
radius=34/2PI

height= 34/2PI * tan 55

76

bobpursley · Answer

Tan 55=height/radius Circumf=2PI Radius or radius=34/2PI height= 34/2PI * tan 55

Anonymous · Answer

76