2. Trigonometric Functions on Right Triangles

Solve the right triangle shown in the figure. Round lengths to two decimal places and express angles to the nearest tenth of a degree. A = 52.6°, c = 54

In a right triangle, one leg measures $6$ units and the other leg measures $8$ units. Find the length of the hypotenuse. If necessary, round to the nearest tenth.

In triangle $RST$, which is a right triangle with right angle at $S$, if $R$ is $30°$ and the length of side $RS$ is $10$, what is the length of side $ST$?

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 your answer to the nearest tenth.

Given an isosceles triangle $ABC$ with angle $B$ equal to $130°$, what is the measure of each of the other two angles?

A right triangle kite has a right angle at vertex N, with side KN adjacent to angle K and side NM adjacent to angle M. If angle K is $30°$ and the hypotenuse KM is $10$ units, what are the lengths of sides KN and NM? KN = $?$ units, NM = $?$ units

A right triangle has a hypotenuse of $14$ units and one leg of $7$ units. What is the length of the other leg?

In the right triangle shown, one leg measures $21$ units and the other leg measures $28$ units. What is the length of the hypotenuse $x$?

Given right triangle QRS with right angle at S, if $\mathrm{QR}$ is the hypotenuse and $\mathrm{QS}$ is $8$ units long, and angle Q is $30°$, what is the length of $\mathrm{RS}$?

Given a circle with a circumference of $16$, what is the radius $r$ of the circle?

Which set of three angles could represent the interior angles of a triangle?

In a right triangle, if one leg has length $3$ units and the other leg has length $4$ units, what is the length of the hypotenuse (line segment $gh$)?

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

Graph two periods of the given tangent function. y = 3 tan x/4

Solve the right triangle shown in the figure. Round lengths to two decimal places and express angles to the nearest tenth of a degree. a = 30.4, c = 50.2