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Geometry Warm ups 8-4 ANGLES OF ELEVATION AND DEPRESSION Essential Understanding Describing angles • What is the description of each angle as it relates to the situation shown? Example • When the sun’s angle of elevation is 38°, a building casts a shadow of 45m. How tall is the building? x tan 38 45 x 35m x 45 38 Example • From the top of a lighthouse 20m tall, a sailboat is sighted having an angle of depression of 4°. How far from the lighthouse is the boat? 20 tan 4 x x 286m 20 4 x Draw a picture and solve! A library needs to build an access ramp for wheelchairs. The main entrance to the library is 8 ft above sidewalk level. If the architect designs the slope of the ramp in such a way that the angle of elevation is 5°, how long must the access ramp be? Round your answer to the nearest tenth of a foot. 91.8 ft TWAP or TOO • A meteorologist measures the angle of elevation of a weather balloon as 31. A radio signal from the balloon indicates that it is 100 meters from his location. To the nearest meter, how high above the ground is the balloon? • (Draw your OWN picture and solve.) 52 m Homework • 8-4 Practice Worksheet