Mastering 30-60-90 Triangles: Side 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 30-degree angle with the ground. If the base of the ladder is 6 feet from the wall, how tall is the ladder?
3 feet
4 feet
5 feet
2√3 feet (approximately 3.46 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 side opposite this angle is 10 meters long. What are the lengths of the other two sides?
8.0 meters and 12.0 meters
7.5 meters and 9.2 meters
The lengths of the other two sides are approximately 5.77 meters and 11.55 meters.
6.5 meters and 13.0 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 rope tied to a tree. If the length of the rope (the hypotenuse) is 12 feet, what is the length of the side opposite the 30-degree angle?
8 feet
4 feet
6 feet
10 feet
Tags
CCSS.8.G.B.8
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A ramp is built to help wheelchair access, forming a 30-degree angle with the ground. If the ramp is 15 feet long, how high does it reach?
10 feet
12 feet
5 feet
7.5 feet
Tags
CCSS.HSG.SRT.C.8
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In a right triangle, one angle measures 30 degrees and the hypotenuse is 20 inches. What is the length of the side opposite the 60-degree angle?
20 inches
5√3 inches
10√3 inches
10 inches
Tags
CCSS.HSG.SRT.C.8
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A triangular garden has a height of 8 feet and forms a 60-degree angle with the ground. What is the length of the base of the triangle?
3.464 feet
4.618 feet
5.000 feet
6.928 feet
Tags
CCSS.HSG.SRT.D.9
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A 30-60-90 triangle is used in a construction project. If the shorter leg measures 5 meters, what is the length of the longer leg?
10 meters
7.5 meters
8.66 meters
6 meters
Tags
CCSS.8.G.B.8
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