Geometry Warm ups #3 a) Show the Trig. Ratio set up and then b) Round angles to the nearest WHOLE!!

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? Round to the nearest whole meter. x 38 45

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? Round to the whole. 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

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? (There are 2 possible answers) (Draw your OWN picture and solve.) 52 m 60 m

(Draw your OWN picture and solve.) TWAP An airplane pilot sights a life raft at a 26° angle of depression. The airplane’s altitude is 3 km. What is the airplane’s horizontal distance d from the raft? (Draw your OWN picture and solve.) 6.2 km

Homework 8-4 Practice Worksheet