Warm Up 39 Angles of Elevation and Depression B Day

Dante is moving to the Roanoke Valley. As he is driving down the interstate he spots a man in a hot air balloon that he estimates to be 143 ft. from him. The angle of elevation from his line of sight to the balloon is 28°. If Dante's eyes are eight feet off of the ground, then what is the approximate height of the hot air balloon?

An observer standing on the top of a vertical cliff spots a house in the adjacent valley at an angle of depression of 12 degrees. The cliff is 60m tall. How far is the house from the base of the cliff?

The tallest television transmitting tower in the world is in North Dakota, and it is 2059 feet tall. If you are on level ground exactly 5280 feet (one mile) from the base of the tower, what is your angle of elevation looking up at the top of the tower?