Trig Word Problems

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

A 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. What is the height of the lighthouse?

• 25 feet

• 43.9 feet

• 110 feet

• 39.5 feet

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

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

A 10 ft. tree creates a shadow that is 15 ft. long. Find the angle of elevation of the sun. 

• 34 degrees
• 56 degrees
• 72 degrees
• 15 degrees

Tags

CCSS.HSG.SRT.C.8

To the nearest whole degree.

• 66^°

• 24^°

• 22^°

• ^37°

Tags

CCSS.HSG.SRT.C.8

Round your answer to the nearest tenth.

• 36.9^°

• 31.0^°

• 59.0^°

• 53.1^°

Tags

CCSS.HSG.SRT.C.8

A building 62 feet tall casts a shadow 21 meters long. At what angle of depression is the sun shining on the building?

• 19.80

• 18.71

• 70.20

• 71.29

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