SOLUTION: You are standing 16 feet from a circular swimming pool. The distance from you to a point of tangency is 25 feet. What is the approximate diameter of the pool?

Question 859243: You are standing 16 feet
from a circular swimming pool. The distance
from you to a point of tangency is 25 feet.
What is the approximate diameter of the
pool?
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Hint: Draw the picture to get

You are at point D. The length of CD is 16 feet. The center of the circle is point A. Point B is the point of tangency of line BD (angle ABD = 90 degrees) and segment BD = 25 feet.

The radius of the circle is unknown for now. We'll call it

Now use the Pythagorean Theorem

Subtract from both sides.

I'll let you finish up.

Keep in mind that where is the diameter of the circle.
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