Calculating Side Lengths with the Law of Sines
10th Grade
•10 Qs
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Calculating Side Lengths with the Law of Sines
Quiz
•
English, Mathematics
•
10th Grade
•
Hard
Standards-aligned
Anthony Clark
FREE Resource
10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A triangle has one angle measuring 30 degrees and a side opposite to it measuring 10 meters. Calculate the length of the side opposite to the 60-degree angle.
10√3 meters
5 meters
20√2 meters
15 meters
Tags
CCSS.HSG.SRT.D.10
CCSS.HSG.SRT.D.11
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In a triangle, angle A is 45 degrees, angle B is 75 degrees, and side a (opposite angle A) is 12 cm. Find the length of side b (opposite angle B).
15.00 cm
12.73 cm
10.50 cm
9.80 cm
Tags
CCSS.HSG.SRT.D.10
CCSS.HSG.SRT.D.11
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A boat is sailing from point A to point B, creating a triangle with point C on the shore. If angle A is 50 degrees, angle B is 70 degrees, and side a (from A to C) is 15 meters, how long is side b (from B to C)?
12.50 meters
18.36 meters
20.00 meters
15.75 meters
Tags
CCSS.HSG.SRT.D.10
CCSS.HSG.SRT.D.11
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A surveyor measures a triangle where angle A is 40 degrees, angle B is 60 degrees, and side a is 25 meters. Calculate the length of side b.
33.69 meters
25.00 meters
40.00 meters
20.50 meters
Tags
CCSS.HSG.SRT.D.10
CCSS.HSG.SRT.D.11
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In a triangle, angle C is 90 degrees, angle A is 30 degrees, and side a (opposite angle A) is 20 meters. Use the law of sines to find the length of side c (the hypotenuse).
40 meters
30 meters
25 meters
50 meters
Tags
CCSS.HSG.SRT.D.10
CCSS.HSG.SRT.D.11
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A ladder leans against a wall forming a triangle with the ground. If the angle between the ladder and the ground is 75 degrees and the foot of the ladder is 3 meters from the wall, how long is the ladder?
10.00 meters
12.50 meters
9.81 meters
11.62 meters
Tags
CCSS.HSG.SRT.C.8
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A triangular park has one angle measuring 45 degrees and the side opposite to it measuring 50 meters. If the angle adjacent to this side is 60 degrees, find the length of the other side.
55.25 meters
70.50 meters
58.31 meters
45.00 meters
Tags
CCSS.HSG.SRT.D.10
CCSS.HSG.SRT.D.11
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