Question

Solve for the unknown in the following diagram. Round the answer to two decimal places.

degrees​

Answer 1

x = 63.28°

Explanation:

A = 33°

a = 175 mm

C = x

c = 287 mm

Use the Law of Sines to find x

Thus:

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

Plug in the values

`(175)/(sin(33)) = (287)/(sin(x))`

Cross multiply

`175*sin(x) = 287*sin(33)`

Divide both sides by 175

`sin(x) = (287*sin(33))/(175)`

`sin(x) = 0.893208017`

`x = sin^(-1)(0.893208017)`

x = 63.28° (2 decimal places)