Asked by Anon

A student walks around a pool and estimates the pool has a circumference of 240 m.
Using a protractor the students gages the angle of elevation to the top of the fountain, in the center of the pool, to be 74 degrees.

Answered by drwls
This question in incomplete. Do they want to know the height of the fountain?

That would be H = R*tan74, where

R = 240/(2 pi) = 38.2 meters.

Now compute H.

It seems rather high to me.
Answered by Anon
Oh, yes. I am sorry.
I am attempting to calculate the height of the fountain.

It does indeed seem rather high. But the numbers for my assignment are randomly generated. So that may explain this phenomenon.
Thank you for your help.
Answered by Henry
So what is your question? I'm assuming
you want to know the height of the fountain.

C = 6.28r = 250m,
r = 250 / 6.28 = 39.8m.

tan74 = h/r = h / 39.8
h = 39.8tan74 = 138.8m.


Answered by Henry
drwls, you finished a little ahead of me: but that's good because i used the wrong value for the circumference.
There are no AI answers yet. The ability to request AI answers is coming soon!