30-60-90 Triangles: Solving Real-World Problems
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 30-degree angle with the ground. If the base of the ladder is 6 feet from the wall, how high does the ladder reach on the wall?
2√3 feet
3 feet
4√3 feet
5 feet
Tags
CCSS.HSG.SRT.C.8
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A triangular park has one angle measuring 60 degrees and the opposite side is 12 meters long. What is the length of the side opposite the 30-degree angle?
4 meters
10 meters
8 meters
6 meters
Tags
CCSS.HSG.SRT.D.10
CCSS.HSG.SRT.D.11
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A 30-60-90 triangle is formed by a ramp. If the height of the ramp is 10 feet, how long is the base of the ramp?
12.5 feet
7.5 feet
8.66 feet
5.77 feet
Tags
CCSS.HSG.SRT.C.8
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A kite is flying at a height of 15 meters. If the angle of elevation from the ground to the kite is 30 degrees, how far is the kite from the person on the ground?
20√3 meters
10 meters
15 meters
15√3 meters
Tags
CCSS.HSG.SRT.C.8
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A triangular garden has a 60-degree angle. If the shortest side measures 5 meters, what is the length of the longest side?
6.3 meters
4.5 meters
7.1 meters
5.77 meters
Tags
CCSS.HSG.SRT.D.10
CCSS.HSG.SRT.D.11
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A 30-60-90 triangle is used to design a roof. If the height of the roof is 8 feet, what is the length of the base of the triangle?
8√3 / 3 feet
8 feet
4 feet
16 feet
Tags
CCSS.8.G.B.8
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A flagpole casts a shadow that forms a 30-degree angle with the ground. If the shadow is 10 feet long, how tall is the flagpole?
10 feet
8.2 feet
5.77 feet
3.5 feet
Tags
CCSS.HSG.SRT.C.8
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