2. Trigonometric Functions on Right Triangles

Given a right triangle where angle $\mathrm{BAC}$ is one of the acute angles, what is the degree measure of angle $\mathrm{BAC}$? Round your answer to the nearest whole degree.

A circle has a radius of $10$ inches and a central angle of $3\mathrm{rad}$. What is the approximate length of the arc $s$ subtended by this angle? Choose the closest value.

Each exterior angle of a regular decagon has a measure of $3x+6$ degrees. What is the value of $x$?

If the measure of arc QS is $4x-18$ degrees and arc QS is a semicircle, what is the value of $x$?

Which pair of angles is supplementary in a right triangle?

In a right triangle, which trigonometric ratio is calculated by $\frac{\mathrm{opposite}}{\mathrm{hypotenuse}}$?

In a right triangle, the radius of a circle is $8$ cm and the measure of the central angle $\angle LOM$ is $60°$. What is the approximate length of minor arc $LM$? Round to the nearest tenth of a centimeter.

Given a right triangle with angle $A$, opposite side $a$, adjacent side $b$, and hypotenuse $c$, which expression can be used to find $\angle A$?

Given that line $k$ is parallel to line $l$, and a transversal intersects both lines forming angle $1$ on line $k$, which angle on line $l$ is congruent to angle $1$?

In right triangle $JKM$, if angle $K$ is the right angle, which of the following correctly expresses $sinJ$ in terms of the side lengths?

In a right triangle, if one of the acute angles measures $24°$, what is the measure of the other acute angle?

If the sum of the interior angles of a polygon is $1080°$, how many sides does the polygon have?

If a line has a slope of $3$, which of the following lines is perpendicular to it?

Given that $\sin \left(\theta \right)$ = $-\frac{12}{13}$, and that $\theta$ is in the third quadrant, what is the value of $\cos \left(\theta \right)$?

Given a right triangle with vertices at $(0,0)$, $(4,0)$, and $(4,3)$, let point $z$ be $(4,0)$ and line $ab$ be the segment from $(0,0)$ to $(4,0)$. Which of the following points lies on the line that passes through point $z$ and is perpendicular to line $ab$?