Which of the following is always true about the angles of an isosceles triangle?

Solve each problem. (Source for Exercises 49 and 50: Parker, M., Editor, She Does Math, Mathematical Association of America.) Height of a Tower The angle of depression from a television tower to a point on the ground 36.0 m from the bottom of the tower is 29.5°. Find the height of the tower.

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?

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

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?

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.

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 $x$?

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