2. Trigonometric Functions on Right Triangles

Given a right triangle with an angle $\theta$ and an adjacent side of length $a$, and hypotenuse of length $c$, which equation finds the value of $\theta$?

Given right triangle xyz, if angle x is $30°$ and the length of the side opposite angle x is $5$, what is the length of the hypotenuse?

A right triangle has legs measuring $26$ ft and $34$ ft. What is the length of the hypotenuse of the triangle?

Given two similar right triangles, one with sides $3$, $4$, and $5$, and the other with sides $6$, $x$, and $10$, what is the value of $x$?

In right triangle PQR, angle P is a right angle, PQ = $8$ units, and PR = $16$ units. What is the length of side QR?

In a right triangle, one of the acute angles measures $10°$. What is the measure of the other acute angle?

A right triangle has legs of lengths $6$ and $8$. What is the length of the hypotenuse?

A right triangle has one leg of length $6$ units and a hypotenuse of length $10$ units. What is the length of the missing leg? If necessary, round to the nearest tenth.

In a right triangle, one leg has length $6$ and the hypotenuse has length $10$. If $x$ is the length of the other leg, select the correct value of $x$.

In right triangle PQR, angle P is $30°$, angle Q is $60°$, and the length of side PQ is $8$ units. What is the length of side QR?

Point P is the center of the circle in the figure above. If triangle $APB$ is a right triangle with right angle at $A$, and $AP=5$, $PB=13$, what is the value of $x$ if $AB=x$?

In a right triangle ABC, angle C is the right angle and angle A measures $35°$. What is the measure of angle B?

Point P is the center of the circle in the figure above. If triangle $APB$ is a right triangle with right angle at $A$, and $AP=5$, $PB=13$, what is the value of $x$ if $AB=x$?

A right triangle has a hypotenuse of length $10$ units and one of its acute angles measures $30°$. What is the length of each leg of the triangle?

In right triangle $xyz$, if $xy$ is $4$ units and $yz$ is $4$ units, what is the length of line segment $xz$?