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Pythagorean Theorem Trig

Authored by Barbara White

Mathematics

9th - 11th Grade

CCSS covered

Pythagorean Theorem Trig
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27 questions

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1.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

When the angle of elevation of the sun is 78 degrees, an statue casts a shadow that is 6m long. How far is the top of the statue to the end of its shadow?

1.2 m
28.9 m
6.1 m
28.2 m

Tags

CCSS.HSG.SRT.C.8

2.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Spencer is going snowboarding.  He rode the ski lift to the top of the mountain, which is at an altitude of 1500 feet.  The angle of elevation from the bottom to the top of the mountain is 25o.  What is the length of the Spencer’s run (his trip down the hill)? 

3216.76 feet
633.93 feet
699.46 feet
3549.30

Tags

CCSS.HSG.SRT.C.8

3.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Sally the squirrel is looking at a tree that is 100 feet away. If the angle of elevation between Sally and the top of the tree is 23, how tall is the tree?

42.4474 ft
235.5852 ft
0.0042 ft
39.0731 ft

Tags

CCSS.HSG.SRT.C.8

4.

MULTIPLE CHOICE QUESTION

15 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

5.

MULTIPLE CHOICE QUESTION

15 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 closest to the height of the lighthouse? 

25 feet
45 feet 
110 feet 
135 feet 

Tags

CCSS.HSG.SRT.C.8

6.

MULTIPLE CHOICE QUESTION

15 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

7.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Media Image

Find the measure of the missing angle.

64o
26o
61o
8o

Tags

CCSS.HSG.SRT.C.8

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