Solving Right Triangles

Question

A radio tower is located 350 feet from a building. From a window in the building, a person determines that the angle of elevation to the top of the tower is 43∘ and that the angle of depression to the bottom of the tower is 22∘. How tall is the tower?

Answer 1

Madina

Draw a diagram. Suppose A is the window, B is the top of the tower, C is the bottom of the tower, and D is the point on the tower at the same horizontal level as the window.

You need to find BC.

Find BD, DC then add these together to give this°.

For BD : AD is 350 ft, the angle CAD is 43. So BD/350 = tan 43°. From this you can find BD.

Try and figure out DC in a similar way. (angle DAC will be 22 degrees).

Mike