Right Triangle Applications

The angle of elevation of the throw to the top of the tree is 40^o. What is the height of the tree?

• 8.39 ft

• 13.9 ft

• 11.9 ft

• 9.49 ft

You need a ladder that will reach up a 25 foot tall house when placed 10 feet away from the house. How tall does the ladder need to be?

• 25 feet

• 26 feet

• 27 feet

• 28 feet

A 16 foot ladder leans against a building.  If the angle the ladder makes with the ground is 68°, how high up the building does the ladder reach?

• 39.6

• 6.0

• 14.8

• 13.6

You lean a 20-foot ladder against a wall of your house. The base of the ladder is 4 feet from the wall. What angle does the ladder make with the ground?

• 11.31 degrees

• 78.46 degrees

• 1.36 degrees

• 11.54 degrees

The top of a hot air balloon is 520m from the ground. A building is 450m tall. Given the angle of elevation from the hot air balloon from the height of a building is 10° , find the horizontal distance from the balloon to the building in meters.

• 512 m

• 414 m

• 403 m

• 397 m

Mattie is waiting for the bus. She is cold because she is standing in its shadow. The building is 62 meters tall and casts a shadow 21 meters long. What is the angle of elevation of the sun?

• 19.80

• 18.71

• 70.20

• 71.29

Timyziah is flying a plane. After takeoff, it flies in a straight line for a distance of 4000 feet in order to gain an altitude of 800 feet. Find the angle of elevation from the ground to the plane. Round to the nearest degree.

• 78 degrees

• I love Math

• 12 degrees

• 11 degrees

Ernesto spots a hawk sitting on a tree branch spots a mouse on the ground 15 feet from the base of the tree. The hawk swoops down toward the mouse at an angle of 30 degrees. What is the distance from the tree branch to the mouse?

• 7.5 ft

• 15 ft

• 26 ft

• 30 ft

Students are trying to determine the height of the flagpole at Arlington High. They have measured out a horizontal distance of 40 feet from the flagpole and site the top of it at an angle of elevation of 52 degrees. Which below is closest to the height, h, of the flagpole?

• 31.5 feet

• 24.6 feet

• 51.2 feet

• 57.4 feet

Emma's yacht is anchored 90 feet offshore from the base of a lighthouse. The angle of elevation from the boat to the top of the lighthouse is 26 degrees. The distance between the yacht and the top of the lighthouse is about 100 feet.Find the height of the lighthouse.

• 25 feet

• 45 feet

• 110 feet

• 135 feet