2. Trigonometric Functions on Right Triangles

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 $△abc$?

If $\theta$ is an angle such that $\sin \left(\theta \right)=0.3030$, what is the approximate value of $\csc \left(\theta \right)$?

Given a right triangle where angle $A$ measures $39°$ and side $\mathrm{BC}$ is the hypotenuse, what is the measure of arc $\mathrm{BC}$ in degrees?

In a right triangle, which pair of angles shares ray $AF$ as a common side? Choose the correct pair from the options below.

In square $ABCD$, what is the measure of angle $\angle BAC$?

Given that lines $b$ and $c$ are parallel and angle $6$ is formed by a transversal intersecting these lines, what is the measure of angle $6$?

Suppose $LK$ is tangent to circle $J$ at point $K$. If the distance from the center $J$ to point $L$ is $10$ units and the distance from $L$ to $K$ is $6$ units, what is the length of the radius of the circle?

In right triangle $PSQ$, angle $PSR$ measures $99°$. What is the measure of angle $PSQ$ in degrees?

Given a right triangle, what is the value of $tan(60°)$?

In a regular polygon with $4$ sides, what is the measure of each interior angle?