1) An airplane flying at an altitude of 6000 feet sights the angle of depression to a control tower to be 14 degrees. Find the horizontal distance the plane is from the control tower. (Disregard the height of the tower.)
2) The angle of elevation from ground level to the top of a building is 46 degrees. If the observer is standing 380 feet from the building, how tall is the building?
3) A tree which is 54 feet tall casts a shadow of 92 feet. Find the angle of elevation of the sun. Round to the nearest degree.
4) Find the horizontal distance from a ship to the base of a 180-foot-tall lighthouse if the angle of depression to the ship from the top of the lighthouse is 46 degrees. (Disregard the dimensions of the ship.)
5) From a police helicopter flying at 1,525 feet, a stolen car is sighted at an angle of depression of 80 degrees. Find the distance of the car (to the nearest foot) from a point directly below the helicopter.