Practice : Right Triangle Trig & Applications

Name: ______Period___

PreCal

Find the missing parts of each right triangle:

1) 2)

3) 4)

5) A hot air balloon is flying at an altitude of 10,417 feet. The person in the hot air balloon spots a dog chewing on a bone at an angle of depression of . What is the horizontal distance from the hot air balloon to the dog?

6) Max places his surveyor’s telescope on the top of a tripod 5 feet above the ground. He measures an angle of elevation of to the top of a tree that is 120 feet away. How tall is the tree?

7) The Chrysler Building in New York City was the tallest building in the world at the time it was built. It casts a shadow approximately 130 feet long on the street when the sun’s rays form an angle with the earth. How tall is the building?

8) The angle of depression from the top of the Smoketown Lighthouse 120 feet above the surface of the water to a buoy is. What is the horizontal distance from the lighthouse to the buoy?

9) To measure the height of a cloud, you place a bright searchlight directly below the cloud and shine the beam straight up. From a point 100 feet away from the searchlight, you measure the angle of elevation of the cloud to be . How high is the cloud?

10) A ramp leading to a freeway overpass is 470 feet long and rises 32 feet. What is the average angle of inclination of the ramp to the nearest tenth of a degree?

11) A space shuttle from Cape Canaveral is 120 miles directly over a ship 5 minutes after it takes off. If the shuttle has a horizontal distance away from Cape Canaveral of 345 miles at this time, what is the angle of elevation from Cape Canaveral to the shuttle?

12) A 23 meter flagpole casts a 56 meter shadow. What is the angle of elevation to the sun?

13) A rescue helicopter 457 feet in the air shines a beam of light at an angle of depression of at a fire in the woods. What is the length of the beam?

Answers!

5) 34072.47 feet

6) 21.86 feet

7) 1043.70 feet

8) 680.55 feet

9) 814.43 feet

10)

11)

12)

13) 1563.08 feet