SOH CAH TOA: Right Triangle Angle & Length Challenges
Authored by Anthony Clark
English, Mathematics
8th Grade
CCSS covered
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10 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A ladder leans against a wall, forming a right triangle. If the base of the ladder is 4 feet from the wall and the ladder is 10 feet long, what is the angle between the ground and the ladder?
45 degrees
75 degrees
66.42 degrees
30 degrees
Tags
CCSS.HSG.SRT.C.8
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A tree casts a shadow that is 15 feet long. If the angle of elevation from the tip of the shadow to the top of the tree is 30 degrees, how tall is the tree?
12 feet
5√3 feet
7 feet
10 feet
Tags
CCSS.HSG.SRT.C.8
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A right triangle has one angle measuring 45 degrees. If the length of the side opposite this angle is 5 cm, what is the length of the hypotenuse?
5 cm
7 cm
10 cm
5√2 cm
Tags
CCSS.HSG.SRT.C.8
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A ramp is built to allow access to a stage. If the ramp is 8 feet long and makes a 60-degree angle with the ground, how high does the ramp rise?
4√3 feet
6 feet
3 feet
5√3 feet
Tags
CCSS.HSG.SRT.C.8
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A kite is flying at a height of 20 meters. If the string makes a 40-degree angle with the ground, how long is the string?
15.50 meters
25.00 meters
31.11 meters
40.00 meters
Tags
CCSS.HSG.SRT.C.8
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A right triangle has one angle measuring 30 degrees and the adjacent side is 10 meters long. What is the length of the opposite side?
8.66 meters
12 meters
3.5 meters
5.77 meters
Tags
CCSS.HSG.SRT.C.8
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A person stands 50 meters away from a building and looks up at an angle of 70 degrees. How tall is the building?
200 meters
137.38 meters
100 meters
50 meters
Tags
CCSS.HSG.SRT.C.8
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