2. Trigonometric Functions on Right Triangles

If an angle in a right triangle measures $x$ degrees, what is the measure of its supplement?

Given a right triangle $ABC$ and its translated image $A\text{'}B\text{'}C\text{'}$, which of the following statements is true?

Which of the following statements about $\mathrm{secants}$ and $\mathrm{chords}$ in a $\mathrm{right}\mathrm{triangle}$ is true?

In right triangle QRS, if angle $Q$ is the right angle and side $QR$ has length $6$ and side $QS$ has length $10$, what is the value of $\sin \left(S\right)$?

In kite KLMN, if angle K is $49°$ and angle L is $99°$, what is the measure of angle LMN?

In a right triangle, if one leg measures $4$ ft and the hypotenuse measures $8$ ft, what is the length of the other leg $r$?

In a right triangle, one of the acute angles measures $60°$. What is the measure of the other acute angle?

Triangle QRS is a right triangle with one angle measuring $90°$ and another angle measuring $38°$. What is the measure of the third angle in degrees?

Given that the measure of arc ED is $68°$, what is the measure of angle EFD if angle EFD is an inscribed angle that intercepts arc ED?

Given a right triangle where angle $C$ is the right angle, and the measures of angles $A$ and $B$ are approximately $44.8°$ and $45.2°$ respectively, what is the approximate difference between the measures of angle $C$ and angle $A$?

In right triangle xyz, if angle $y$ is a right angle and the side opposite angle $x$ has length $5$, the side adjacent to angle $x$ has length $12$, and the hypotenuse has length $13$, what is $sinx$?

Which of the following statements best describes the relationship between the acute angles in a right triangle according to the linear pair perpendicular theorem?

In right triangle $MLO$, angle $MLO$ measures $112°$. What is the measure of angle $MLP$?

In the figure above, points $P$ and $Q$ lie on a circle with center $O$. If triangle $OPQ$ is a right triangle with right angle at $P$, and $OP=5$, $OQ=13$, what is the value of $PQ$ (denoted as $s$)?

Given a right triangle $△abc$ where angle $a$ is one of the acute angles, if $\sin \left(a\right)=\frac{3}{5}$, $\cos \left(a\right)=\frac{4}{5}$, and $\tan \left(a\right)=\frac{3}{4}$, which of the following triangles is similar to $△abc$?