Find the value of the variable(s). If your answer is not an integer, leave it in simplest radical form. x = 22, y = 11
x = 11, y = 22
x = 22, y = 11
x = 11, y = 22

D

Step-by-step explanation:

Since this is a right triangle, and we are given that one of the other angles is 30°, we have a 30°, 60°, 90° triangle.

In a 30°, 60°, 90° triangle, the side lengths are all related as shown below.

We should determine a first. a is the measure of the side opposite to the 30° angle. Thus:

The side opposite to the 60° angle is given by a√3. Since a = 11, the side opposite to the 60° angle or x is:

Finally, the hypotenuse will be 2a. Since a = 11, the hypotenuse or y will be:

Hence, x = 11√3 and y = 22.

Our answer is D.

2

step-by-2step explanation:

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step-by-step explanation: