2. Trigonometric Functions on Right Triangles

Given a right triangle QSR with right angle at S, if $qs$ is one leg and $qr$ is the hypotenuse, what is the measure of angle $qsr$ in degrees?

In a circle, the length of an arc intercepted by a central angle is $12mm$. If the radius of the circle is $8mm$, what is the measure of the central angle in radians?

In a circle with center $O$ and radius $20$ inches, if the measure of angle $SOV$ is $72°$, what is the length of minor arc $SV$?

Triangle xyz is isosceles. Angle y measures $a$ degrees. What expression represents the measure of angle x?

Given a circle with center O, points A and B on the circle, and point D on the circle such that arc AB has a measure of $80°$, what is the measure of angle BDA, where BDA is an inscribed angle that intercepts arc AB?

In a right triangle, if one of the non-right angles (angle $6$) measures $141°$, what is the measure of the other non-right angle (angle $5$)?

Given a right triangle with vertices labeled x, z, and w, and angle $xzw$, what is the cosine ratio of angle $xzw$?

Given a right triangle with angle $A$ equal to $50°$ and hypotenuse $c$, which equation can be used to solve for $c$ if the side opposite angle $A$ is $a$ and the side adjacent is $b$?

Given a right triangle, which of the following is equal to $\sin (38°)$?

In a right triangle, which of the following ratios represents the cosine of angle $\theta$?

Given a right triangle where side $\mathrm{AB}$ is $5$ units, side $\mathrm{BC}$ is $12$ units, and $\mathrm{AC}$ is the hypotenuse, which is the best approximation for the measure of angle $\mathrm{ABC}$?

If triangle $RST$ is an acute triangle, then the measure of angle $S$ must be

How many sides does a regular polygon have if each interior angle measures $144°$?

If $\tan \theta$ = $-\frac{3}{8}$, which of the following is the value of $\sin \theta$ if $\theta$ is in the fourth quadrant?

Given a right triangle where one of the acute angles is $x$ and the other acute angle is $y$, if $x=13°$, what is the measure of angle $y$?