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Consider △ABC, where a = 7, c = 10, and m∠C=38∘.

What are the measures of the missing angles and missing side?

Enter your answer by filling in the boxes. Enter all values rounded to the nearest tenth.

 Jun 19, 2020
 #1
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Answer:

m∠A = 25.5 degrees

m∠B = 116.5 degrees

b = 14.5 

 

Explanation:

Use law of sines:

a/sinA = b/sinB = c/sinC

 

10/sin38 = 7/sinA

 

7sin38 = 10sinA

 

4.3 = 10 sin A

 

0.430 = sin A

 

sin^-1(0.430) = A

 

m∠A = 25.5

 

same thing for m∠B and b

 Jul 29, 2020

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