2. Trigonometric Functions on Right Triangles

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

If a right triangle has one angle measuring $30°$, what is the measure of the other non-right angle?

Given a right triangle where one leg has length $6$, the other leg has length $8$, and the hypotenuse is $x$, what is the value of $x$?

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

Given a right triangle with one leg of length $5$ and hypotenuse of length $13$, what is the approximate length of the other leg?

In a right triangle, one leg has length $6$ and the hypotenuse has length $10$. Find the length of the other leg $x$ in simplest radical form with a rational denominator.

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

A right triangle has a base of $68$ units and the angle opposite the height is $15°$. What is the height of the triangle?

Triangle xyz was transformed by a dilation with center O and scale factor $3$. If the original length of side xy was $1.5$ units, what is the length of side xy after the transformation?

Triangle QRS is a right triangle with angle Q equal to $90°$ and angle R equal to $35°$. What is the measure of the obtuse angle in triangle QRS?

In a right triangle $FGH$, if the length of $FH$ is $18$ units and angle $G$ is $30°$, what is the length of side $FG$ opposite angle $H$?

A right triangle with an angle of $31°$ has a hypotenuse of $10$. Calculate the side of the triangle opposite to the $31°$ angle (y), and the side adjacent to the $31°$ angle (x). Round your answer to 3 decimal places.

Given the right triangle below, calculate all missing angles in degrees (round your answer to 3 decimal places.

The graph of a tangent function is given. Select the equation for each graph from the following options: y = tan(x + π/2), y = tan(x + π), y= -tan x, y = −tan(x − π/2).

The graph of a tangent function is given. Select the equation for each graph from the following options: y = tan(x + π/2), y = tan(x + π), y = -tan x, y = −tan(x − π/2).