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Right Triangle Application

Authored by Jeff Crayton

Mathematics

9th - 12th Grade

CCSS covered

Used 2+ times

Right Triangle Application
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10 questions

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1.

MULTIPLE CHOICE QUESTION

5 mins • 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

2.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Media Image

A ramp is being built next to a 4-inch high sidewalk. The ramps angle of inclination is 10 degrees.  Estimate the length of the ramp to the nearest tenth of an inch. 

4.1 inches
3.9 inches
22.7 inches 
0.7 inches 

Tags

CCSS.HSG.SRT.C.8

3.

MULTIPLE CHOICE QUESTION

5 mins • 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

CCSS.HSG.SRT.C.6

4.

MULTIPLE CHOICE QUESTION

5 mins • 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

5.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

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 of depression 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

6.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

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

19.80
18.71
70.20
71.29

Tags

CCSS.HSG.SRT.C.8

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Which scenario describes the picture shown?

A 5 foot ramp is 8 feet away from a building.  What is the angle that the ramp makes with the ground?
A 5 foot ramp leans against an 8 foot structure.  What is the angle that the ramp makes with the ground?
An 8 foot ramp leans
against a building 5 feet away.  What angle does the ramp make with the ground?
A 5 foot man is 8 feet away from a building.  What is the angle of elevation?

Tags

CCSS.HSG.SRT.C.8

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