Question

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

Answer 1

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?