Law of Sines — Quiz

Question 1

What are the approximate values of the missing side lengths in the triangle?

Revolt · Accepted Answer

BC almost equal to 136 m, AB almost equal to 89 m

Question 2

In the triangle, which equation can be used to solve for x ?

Revolt · Accepted Answer

x is equal to the fraction with numerator 13 sine 75 and denominator sine 55

Question 3

Which ratio can be used to solve for y in the triangle?

Revolt · Accepted Answer

the fraction with numerator sine 75 and denominator 25 is equal to the fraction with numerator sine 40 and denominator y

Question 4

Which triangle can be solved using the law of sines?

Revolt · Accepted Answer

Image with description Two angles of a triangle are 70 and 30 degrees, and the other side 10 meters.

Question 5

Angelique draws triangle GHK If m angle cap g is equal to 30 degrees , g is equal to 3 , and k is equal to 4 , what is the approximate length of h ?

Revolt · Accepted Answer

1 point 2 or 5 point 7

Question 6

Emilio assigns values to some of the measures of triangle MNP If m angle cap m is equal to 42 degrees , m is equal to 12 in., and n is equal to 20 in., which is true?

Revolt · Accepted Answer

There is one possible triangle because sine cap n over n can be made equal to sine cap m over m .

Question 7

In triangle ABC , m angle cap A is equal to 25 degrees , m angle cap c is equal to 55 degrees , and AB is equal to 60 What are the approximate measures of the remaining side lengths of the triangle?

Revolt · Accepted Answer

BC almost equal to 31 , AC almost equal to 72

Question 8

There are two possible triangles with the measures given for triangle ABC b is equal to 20 point 2 , c is equal to 18 point 3 , m angle cap c is equal to 38 degrees What are the possible measures of angle cap b ? Round your answer to the nearest whole number.

Revolt · Accepted Answer

and

Question 9

Two boats are equidistant from a lighthouse. The boats are 30 miles apart. The angle formed between the two boats, with the lighthouse as the vertex, measures 40° Approximately how far is each boat from the lighthouse?

Revolt · Accepted Answer

21 mi.

Question 10

Cassandra assigns values to some of the measures of triangle ABC . If angle cap A measures 30° , A is equal to 6 , and b is equal to 18 , which is true?

Revolt · Accepted Answer

The triangle does not exist because sine cap A over A cannot equal sine cap b over b .

Law of Sines — Quiz Answers

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