2. Trigonometric Functions on Right Triangles

In a right triangle, if one leg has length $3$ units, the other leg has length $4$ units, and angle $b$ is opposite the side of unknown length, what is the length of the side opposite angle $b$?

In parallelogram LMNO, if angle L measures $35°$, what is the measure of angle O?

Given a right triangle with one leg measuring $15$cm, how many distinct right triangles (up to congruence) can be constructed with this information alone?

Given two parallel lines cut by a transversal, if one of the alternate interior angles measures $k$ degrees and the other measures $71$ degrees, what is the value of $k$?

In a right triangle, one leg has length $6$ units and the hypotenuse has length $10$ units. What is the length of the other leg?

In right triangle $ABC$, angle $B$ is the right angle. If $AB$ = $7$ units and $BC$ = $9$ units, what is the length of line segment $AC$?

Given a right triangle where one leg has length $5$ units and the other leg has length $12$ units, what is the length of the hypotenuse? Round your answer to the nearest hundredth.

In a right triangle, one leg has length $6$ and the other leg has length $8$. What is the length of the hypotenuse $x$? Select the correct answer.

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?