Right Triangle Trig Application

A 25ft ladder is leaning up against a wall. If the ladder makes a 63^o with the ground, how far is the base of the ladder from the wall?

• 12.4 ft

• 11.3 ft

• 22.3 ft

• 49.1 ft

Susan is flying a kite, which gets caught in the top of a tree.  Use the diagram to estimate the height of the tree. 

• 63 ft

• 65 ft

• 74 ft

• 87 ft

A tourist views a deer from a height of 45 feet.  The horizontal distance between the tourist and the deer is 130 feet.  At what angle (x) should the tourist hold his camera to photograph the deer? Round your answer to the nearest degree.  

• 19 degrees

• 45 degrees

• 71 degrees

• 138 degrees 

A building 62 feet tall casts a shadow 21 feet long. What is the angle of elevation of the sun?

HINT: Assume this is a right triangle.

• 19.80

• 18.71

• 70.20

• 71.29

Nathan is flying a kite, which gets caught in the top of a tree. Find the height of the tree.

• 63 ft

• 65 ft

• 74 ft

• 87 ft

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