2. Trigonometric Functions on Right Triangles

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 $ab$?

In a right triangle, what is the tangent ratio for angle $\theta$?

Given points $a$ and $b$ on the coordinate plane, which choice of coordinates for points $a^{\text{'}}$ and $b^{\text{'}}$ would help prove that lines $ab$ and $a^{\text{'}}{b}^{\text{'}}$ are perpendicular?

Given a right triangle with angle $gfe$, where the side adjacent to angle $gfe$ has length $a$ and the hypotenuse has length $h$, which equation can be used to find the measure of angle $gfe$?

In circle t, if $\angle \mathrm{PTQ}$ is inscribed and $\angle \mathrm{RTS}$ is a central angle that intercepts the same arc, what is the measure of $\angle \mathrm{PTQ}$ if $\angle \mathrm{RTS}$ measures $66°$?

If point $z$ is equidistant from the sides of triangle $RST$, which of the following must be true?