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Trig Ratio Word Problems

Authored by Jennifer McClure

Mathematics

7th - 12th Grade

CCSS covered

Used 44+ times

Trig Ratio Word Problems
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20 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

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

25 feet
45 feet 
110 feet 
135 feet 

Tags

CCSS.HSG.SRT.C.8

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

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

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

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

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

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 

Tags

CCSS.HSG.SRT.C.8

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Jake built a skateboard ramp that covers a horizontal distance of 10 ft.  The ramp rises a total of 3.5 ft.  What angle does the ramp make with the ground? Round to the nearest degree.

19 degrees
20 degrees
28 degrees
35 degrees

Tags

CCSS.HSG.SRT.C.8

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

The pilot of a traffic helicopter sights an accident at an angle of depression of 18 degrees.  The helicopter’s altitude is 1560 ft.  What is the horizontal distance from the helicopter to the accident? Round to the nearest foot.

543 ft
1756 ft
4801 ft
5404 ft

Tags

CCSS.HSG.SRT.C.8

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

From a point 340 meters from the base of the Hoover Dam, the angle of elevation to the top of the dam is 33°. Find the height of the dam to the nearest meter. 

185.18 meters
523.55 meters
220.80 meters
624.27 meters

Tags

CCSS.HSG.SRT.C.8

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