Question

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

Answer 1

Answer:

x = 63.28°

Step-by-step explanation:

A = 33°

a = 175 mm

C = x

c = 287 mm

Use the Law of Sines to find x

Thus:

$\frac{a}{sin(A)} = \frac{c}{sin(C)}$

Plug in the values

$\frac{175}{sin(33)} = \frac{287}{sin(x)}$

Cross multiply

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

Divide both sides by 175

$sin(x) = \frac{287*sin(33)}{175}$

$sin(x) = 0.893208017$

$x = sin^{-1}(0.893208017)$

x = 63.28° (2 decimal places)