Law of Sines

In a right triangle, if the side opposite an angle is 5 and the hypotenuse is 13, what is the sine of that angle?

If $\sin(\theta) = 0.6$, what is $\theta$ to the nearest degree?

In triangle ABC, angle A = 50° and angle B = 70°. What is angle C in degrees?

In triangle ABC, angle A = 40°, angle B = 75°, and side $a = 10$. Find side $b$. Round to the nearest hundredth.

In triangle DEF, angle D = 35°, angle F = 80°, and side $f = 20$. Find side $d$. Round to the nearest hundredth.

In triangle PQR, angle P = 50°, angle Q = 60°, and side $p = 14$. What is side $q$? Round to the nearest tenth.

In triangle ABC, angle A = 30°, side $a = 8$, and side $b = 10$. Find angle B in degrees. Round to the nearest tenth.

In triangle XYZ, angle X = 45°, angle Y = 100°, and side $y = 25$. Find side $x$. Round to the nearest tenth.