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If c=25 and B=75 degrees, find a. Round to the nearest tenth.

If c=25 and B=75 degrees, find a. Round to the nearest tenth.-example-1
User Skyguard
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1 Answer

5 votes

Answer:

a=6.9

Explanation:

Since you know that C is a right angle, you can use the Law of Sines to find a. The first step is to find the size of the angle A, which is 180-74-90=16. Now, you set up a ratio that involves 3 knowns and one unknown to get
(\sin(90^\circ))/(25) = (\sin(16^\circ))/(a), which after cross multiplying yields
a=\sin(16^\circ)\cdot25\approx 6.9. PM me if you have any questions?

User Chiurox
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