Solving Right Triangle Trig Problems: Angles & Heights
Authored by Anthony Clark
English, Mathematics
10th 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 with the ground. If the ladder is 10 feet long and the base of the ladder is 6 feet from the wall, how high up the wall does the ladder reach?
10 feet
6 feet
8 feet
4 feet
Tags
CCSS.8.G.B.8
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A 30-foot tall tree casts a shadow of 15 feet. What is the angle of elevation from the tip of the shadow to the top of the tree?
30 degrees
45 degrees
75 degrees
63.43 degrees
Tags
CCSS.HSG.SRT.C.8
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A right triangle has one angle measuring 45 degrees and the adjacent side is 8 meters long. What is the length of the opposite side?
12 meters
8 meters
10 meters
6 meters
Tags
CCSS.HSG.SRT.C.8
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A ramp is built to allow access to a building. If the ramp makes a 20-degree angle with the ground and is 12 feet long, how high does the ramp rise?
4.10 feet
6.0 feet
3.5 feet
5.2 feet
Tags
CCSS.HSG.SRT.C.8
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A surveyor measures a 50-meter tall building and finds that the angle of elevation from a point on the ground 40 meters away is 60 degrees. How tall is the building?
60 meters
40 meters
30 meters
50 meters
Tags
CCSS.HSG.SRT.C.8
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A right triangle has a hypotenuse of 13 cm and one angle measuring 30 degrees. What is the length of the side opposite the 30-degree angle?
6.5 cm
10 cm
7 cm
5 cm
Tags
CCSS.HSG.SRT.C.8
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A kite is flying at a height of 30 meters. If the string makes a 45-degree angle with the ground, how long is the string?
30 meters
20 meters
40√2 meters
30√2 meters
Tags
CCSS.HSG.SRT.C.8
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