Homework Help: Word Problem

Posted by Kellie on Saturday, March 10, 2007 at 11:48am.

A wire from the top of a TV tower to the ground makes an angle of 52 degrees with the ground and touches the ground 180 feet from the base of the tower. How high is the tower?
a)290 feet
b)230 feet
c)110 feet
d)140 feet
I'm pretty sure we can eliminate c and d because they are less than 180 feet and weknow the tower has to be at least that right? Or is my thinking wrong, Please help!!!!

Why are you guessing? Why not solve the problem and pick the answer?
Draw a diagram so you can see the problem.
tan 52^o = height/180.
solve for height.

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