Find the measure of b, given m∠a = 38°, m∠b = 74°, and a = 31.
Asked by maham237 @ in Mathematics viewed by 297 People
Answered by maham237 @
Answer:
b = 48.4017
Explanation:
For this question, we will use the sine rule to get the missing side b. The sine rule is shown in the attached image.
We are given that:
a = 31
measure angle A = 38°
measure angle B = 74°
Substitute in the relation as follows:
sinA/a = sinB/b
sin(38) / 31 = sin(74) / b
b = [sin(74)] / [sin(38) / 31]
b = 48.4017
Hope this helps :)
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