Right-triangle trigonometry

What the problems look like

A few statements from this skill. Answers, hints and worked solutions live in the practice session.

1. Warm-up

   In right triangle ABC, leg AB = 1 unit and leg AC = $\sqrt{3}$ units. Find the measure in degrees of angle B, which is opposite side AC.

2. Warm-up

   In a right triangle, one acute angle is 30 degrees and the hypotenuse is 10. Find the length of the side opposite the 30 degree angle.

3. Warm-up

   In right triangle $ABC$, right-angled at $C$, angles $A$ and $B$ are complementary. Given $\sin A = \dfrac{12}{13}$, find $\cos B$.

Problems shown under their original terms: Generated (solver-verified) · Generated (template, solver-computed).