A high fountain of water is in the center of a circular pool of water.You walk the circumference of the pool and measure it to be 190 meters.You then stand at the edge of the pool and use a protractor to gauge the angle of elevation of the top of the fountain.It is 55°.How high is the fountain?
A)25 m
B)53 m
C)86 m
D)43 m
E)48 m

Question

Quizplus · Accepted Answer

The circumference of the pool is 190 meters, so the radius is 190/(2π) meters. Using the tangent of the angle of elevation (tan 55°), the height of the fountain is calculated as radius * tan(55°), which is approximately 43 meters.

A High Fountain of Water Is in the Center of a Circular