Mastering Sines and Cosines: Triangles in Action

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 two sides measuring 8 cm and 10 cm, with an included angle of 45 degrees. What is the length of the third side?
c = 15 cm
c = √(164 - 80√2) cm
c = 6 cm
c = 12 cm
Tags
CCSS.HSG.SRT.D.10
CCSS.HSG.SRT.D.11
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In triangle ABC, angle A measures 30 degrees, side a is 12 cm, and side b is 15 cm. Calculate the measure of angle B using the law of sines.
25 degrees
38.68 degrees
60 degrees
45 degrees
Tags
CCSS.HSG.SRT.D.10
CCSS.HSG.SRT.D.11
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A ship sails from point A to point B, which is 50 km away. It then sails to point C, which is at an angle of 60 degrees from point B. If the distance from B to C is 40 km, how far is point A from point C?
45.83 km
60 km
30 km
70 km
Tags
CCSS.HSG.SRT.D.10
CCSS.HSG.SRT.D.11
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In triangle XYZ, angle X is 40 degrees, angle Y is 70 degrees, and side x is 15 m. Find the length of side y using the law of sines.
22.1 m
18.5 m
20.0 m
25.3 m
Tags
CCSS.HSG.SRT.D.10
CCSS.HSG.SRT.D.11
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A ladder leans against a wall, forming a 75-degree angle with the ground. If the foot of the ladder is 4 m from the wall, how long is the ladder?
15.5 m
12 m
18 m
10 m
Tags
CCSS.HSG.SRT.C.8
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A triangle has sides of lengths 7 m and 9 m, with an angle of 50 degrees between them. Use the law of cosines to find the length of the third side.
8.3 m
9.5 m
7.1 m
6.5 m
Tags
CCSS.HSG.SRT.D.10
CCSS.HSG.SRT.D.11
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In a triangle, angle A is 50 degrees, side a is 10 m, and side b is 15 m. Find angle B using the law of sines.
40 degrees
30 degrees
60 degrees
20 degrees
Tags
CCSS.HSG.SRT.D.10
CCSS.HSG.SRT.D.11
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