Answer the problems with the help of the table below.
------------sinθ cosθ tanθ cscθ secθ cotθ
θ = 21.8? 0.37 0.93 0.40 2.69 1.08 2.50
θ = 35? 0.57 0.82 0.70 1.74 1.22 1.43
θ = 55? 0.82 0.57 1.43 1.22 1.74 0.70
θ = 65? 0.91 0.42 2.14 1.10 2.37 0.47
(a) Angela is standing on a tower at a height of 200 m. She notices a car accident some distance from the tower. If the angle of depression from Angela's eyes is 35?. How far away is the accident from the base of the tower?
(b) Standing 2000 ft from the base of El Capitan in Yosemite Valley, Pablo sees a climber more than halfway up El Capitan. If the angle of elevation from Pablo to the climber is 55?, how far up is the climber?
(c) A 22 ft ladder is leaning against the side of a building. If the ladder touches the building at a height of 20 ft, what is the angle of elevation that the ladder makes with the ground?
(d) A rock climber has recently started to climb El Capitan. She looks out and sees a deer in an open ?eld below. She estimates that she is 200 feet up, and that the deer is 500 feet out from the base of El Capitan directly below her. Assuming her estimates are correct, what is the angle of depression as she looks at the deer?