Question

Find the measurement and round to the nearest tenth.[Law of Sines]​

Answer 1

Answer:  33.1

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Work Shown:

The uppercase letters A,B,C are the angles, while the lowercase counterparts (a,b,c) are the sides opposite those angles. For instance, side b is opposite angle B.

We have this known info:

• A = 59 degrees
• C = 15 degrees
• c = 10 yards

The ultimate goal is to find side BC, which is opposite angle A. So this is side a.

Now apply the law of sines to solve for 'a'.

sin(A)/a = sin(C)/c

sin(59)/a = sin(15)/10

10*sin(59) = a*sin(15)

a*sin(15) = 10*sin(59)

a = 10*sin(59)/sin(15)

a = 33.1184013279463

Make sure your calculator is in degree mode.

This rounds to the nearest tenth to get a = 33.1 which is the approximate length of side BC.