Angles of Elevation and Depression

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 

Tags

CCSS.HSG.SRT.C.8

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

• 63.6 ft
• 1.59 ft
• 74.2 ft
• 86.9 ft

Tags

CCSS.HSG.SRT.C.8

Round your answer to the nearest tenth.

• 1747.5 ft.

• 1319.3 ft.

• 1428.2 ft.

• 2747.5 ft.

Tags

CCSS.HSG.SRT.C.8

A 13 ft. ladder is leaning against the house. The top of the ladder touches the house at 10 feet above the ground. How far away is the bottom of the ladder from the house?

• 10 feet

• 7.5 feet

• 8.3 feet

• 3.8 feet

Tags

CCSS.8.G.B.8

A plane takes off at an angle of 30 degrees and reaches a height of 10 miles.  What is the diagonal distance it has traveled from take off to it's current position?

• 15 miles
• 38 miles
• 17 miles
• 20 miles

Tags

CCSS.HSG.SRT.C.8

You are standing 10 feet away from a tree. There is a cat up in the tree. Your eyes make a 48 degree angle to look up at the cat. How high is the cat? 

• 11.1 ft. 
• 9 ft. 
• 7.4 ft. 
• 13.8 ft. 

Tags

CCSS.HSG.SRT.C.8

CCSS.HSG.SRT.C.6

A ladder is leaning against a house at an angle of 39 degrees. If the ladder is 12 ft. long, how far is the bottom of the ladder from the house? 

• 15.4 ft.
• 9.3 ft.
• 20.2 ft. 
• 5.3 ft. 

Tags

CCSS.HSG.SRT.C.8

A 30 ft. wire stretches from the top of a light pole diagonally to the ground. The light pole is 10 feet high. What is the angle the wire makes with the ground?

• 66 degrees
• 80 degrees
• 30 degrees
• 19 degrees

Tags

CCSS.HSG.SRT.C.8

Sally is flying a kite at an angle of 41 degrees. If the kite is 10 feet up in the air, how long is the kite string? 

• 6.6 feet
• 10.3 feet
• 15.2 feet
• 20 feet

Tags

CCSS.HSG.SRT.C.8

Sam 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^o

• 45^o

• 71^o

• 138^o

Tags

CCSS.HSG.SRT.C.8