Trig Word Problems

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

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

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. 

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.

• 7.6 ft.

• 20.2 ft.

• 5.3 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

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. Which of these is closest to the height of the lighthouse?

• 25 feet

• 45 feet

• 110 feet

• 135 feet

A tourist views a deer from a height of 45 feet. The horizontal distance between the tourist and the deer is 130 feet. How many degrees should the tourist tilt his camera down to photograph the deer? Round your answer to the nearest degree. (Hint: Find the angle of depression).

• 19 degrees

• 45 degrees

• 71 degrees

• 138 degrees

Elise is standing on top of an 80 foot building. Her friend is standing on the ground 95 feet from the base of the building. What is the angle of depression of Elise's line of sight?

• 33º

• 57º

• 50º

• 40º