Homework Help: trigonometry

Posted by berriengk on Thursday, March 18, 2010 at 10:24am.

The angle of elevation of the top of a tower to point A on the ground is 61 degrees. At point B it is 600 feet farther from the base, in line with the base and the first point and in the same plane, the angle of elevation is 32 degrees. Find the height of the tower.

This problem is tricky because I don't know the distance point A is from the base. Point B would be a distance of 600ft.+ the distance of point A, I think.

trigonometry - bobpursley, Thursday, March 18, 2010 at 10:43am
heigth=A*tan61
height=B*tan32
where A and B are the distances from the tower. B-A=600 or B=600+A

subtract equation 2 from 1

height-height=0=Atan61-(600+A)tan32
solve for A
then, solve for height.
trigonometry - maria, Monday, May 2, 2011 at 7:47pm
A 200 ft guy wire is attached to the top of a tower.If the wire makes a 55 grados angle with the ground, how tall is the tower?

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