Posted by holly on .
the angles of elevation of a tower at two places due west of it are 63 degrees and 56 degrees. given that the foot of the tower and the two points are on ground level and the distance between the two points is 20 meters, find the height of the tower.
You have to draw a picture to see what's going on. Once you draw the picture, you see there are 2 right triangles.
tan 56 = x/(20 + y) where y is the distance between the foot of the tower and the first point, and x is height of tower.
and tan 63 = x/y.
Now you have 2 equations and 2 unkowns, so you can solve it.
Repost if you need more help.