Question

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 150 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?

Answer 1

P = 2π∗rP=2π∗r

Let h be the height of the fountain. In the right triangle formed by the radius r with the height h one has

=8.87m