1. A​ blimp, suspended in the air at a height of 500 ​feet, lies directly over a line from a sports stadium to a planetarium. If the angle of depression from the blimp to the stadium is 31 degrees and from the blimp to the planetarium is 29 degrees ​, find the distance between the sports stadium and the planetarium. 2. Suppose you are headed toward a plateau 55 m high. If the angle of elevation to the top of the plateau is 60 degrees​, how far are you from the base of the​ plateau?

3. A radio transmission tower is 200 feet high. How long should a guy wire be if it is to be attached to the tower 19 feet from the top and is to make an angle of 45 degrees with the​ ground?
The guy wire should be ??? feet long.

An airplane consumes fuel at a constant rate while flying through clear skies, and it consumes fuel at a rate of 64 gallons per minute while flying through rain clouds. let c represent the number of minutes the plane can fly through clear skies and r represent the number of minutes the plane can fly through rain clouds without consuming all of its fuel. 56c+64r < 900056c+64r< 9000 according to the inequality, at what rate does the airplane consume fuel while flying through clear skies, and how much fuel does it have before takeoff? the airplane consumes fuel at a rate of gallons per minute while flying through clear skies, and it has gallons of fuel before takeoff. does the airplane have enough fuel to fly for 60 minutes through clear skies and 90 minutes through rain clouds?