Unit 10.4 - Angle of Elevation or Depression

Angle of Elevation

The angle formed by a horizontal line and the line of sight to an object above the horizontal line.

Angle of Depression

The angle formed by a horizontal line and the line of sight to an object below the horizontal line.

4.2 km

The angle of depression of a car from an air balloon basket is 40°. The balloon is directly over a water tower that is 5 km from the car. Find the altitude of the balloon. (Round to the nearest tenth.)

52.4

The angle of elevation from a ship to the top of a lighthouse is 3°. If the ship is 1,000 km from the lighthouse, how tall is the lighthouse? (Round to the nearest tenth.)

77.8

The angle of elevation of a 110 foot crane is 45°. How high can the crane raise building material? (Round to the nearest tenth.)

71.6

A 1.6 meter tall surveyor is standing 100 meters from a bridge. She determines that the angle of elevation to the top of the bridge is 35°. Find the height of the bridge. (Round to the nearest tenth.)

61.9°

A 15 ft. pole has a guy wire support that is attached to the ground 8 feet from the base of the pole. Find the angle of elevation of the wire. (Round to the nearest tenth.)

64.3

A boy flying a kite lets out 100 feet of string making an angle of elevation of 40°. How high above the ground is the kite? (Round to the nearest tenth.)

13

A jet takes off and travels 56 miles to achieve an altitude of 12.6 miles. What is the angle of elevation for the jets path?

587.7 ft

A person 1320 ft. from a television tower sights its top. The angle of elevation is 24°. How tall is the tower? (Round to the nearest tenth.)

0.9 mi

A person in a hot air balloon that is directly over a school building sights her house. The angle of depression is 42°. The house is 1 mile from the school. Find the altitude of the balloon. (Round to the nearest tenth.)

93.3 m

A person in a lighthouse spots a boat. If he is 25 m above sea level and the angle of depression is 15°, find the distance from the boat to the foot of the lighthouse. (Round to the nearest hundredth.)

7.2°

A ramp is 120 ft. long and rises vertically 15 ft. Find the angle of elevation of the ramp. (Round to the nearest tenth.)

376.8

A sonar operator on a battleship detects a submarine at a distance of 500 m(horizontally) and at an angle of depression of 37°. How deep is the sub? (Round to the nearest tenth.)

36.9°

A television tower 150 ft. high casts a shadow 200 ft. long. Find the angle of elevation. (Round to the nearest tenth.)

11.7

A truck drives down a 30-meter decline. The angle of depression of the decline is 23°. How high is the truck above ground level? (Round to the nearest tenth.)

6.8 km

An airplane pilot sights a life raft. The angle of depression is 26° and the plane's altitude is 3 km. What is the plane's distance from the raft? (Round to the nearest tenth.)

38.4 m

An observer at the top of a 50 m lighthouse sights two ships approaching, one behind the other. The angles of depression of the ships are 36° and 25°. Find the distance between the ships to the nearest meter. (Round to the nearest tenth.)

5.6 km

An observer in an airport control tower sights an airplane at an angle of elevation 32°. The pilot reports the plane's altitude as 3.5 km. What is the airplane's horizontal ground distance "d" from the tower? (Round to the nearest tenth.)

677.1

As viewed from a cliff 360 m above sea level, the angle of depression to a ship is 28°. How far is the ship from the shore? (Round to the nearest tenth.)

172.3

Avery is at the top of the Eiffel tower. When looking out she sees the Seine River at an angle of depression of 62°. The height of the tower is 324 meters. What is the horizontal distance from the Eiffel Tower to the River? (Round to the nearest tenth.)

321.7

From the top of a lighthouse, the angle of depression to a buoy is 25°. If the top of the lighthouse is 150 feet above sea level, find the horizontal distance from the buoy to the lighthouse. (Round to the nearest tenth.)