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.
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