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 $\degree$.How high is the fountain?
A)17 m
B)23 m
C)29 m
D)34 m

Question

Quizplus · Accepted Answer

We can use trigonometry to solve the problem. Let's call the height of the fountain "h". We know that the circumference of the pool is 150m, so we can find the radius of the pool by dividing by 2π: 
r = 150m / (2π) ≈ 23.81m

Next, we can use the tangent function to relate the angle of elevation to the height of the fountain and the distance from the edge of the pool to the center: 
tan(55 degrees) = h / r

We can solve for h: 
h = tan(55 degrees) * r ≈ 34.27m

Therefore, the height of the fountain is approximately 34 meters. The best choice is D.

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