Which angle has a measure closet to 30 degrees?
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Answer:
D
Step-by-step explanation:
First, let's find <em>x</em>.
We know that one of the angles is 30. The side opposite to than angle is 11, and <em>x</em> is the adjacent side to it. Therefore, we can use the trig function tangent.
Recall that:
Plug in 30 for the angle, 11 for the opposite, and <em>x</em> for the adjacent. Solve for <em>x</em> by cross-multiplying:
From the unit circle, recall that tan(30) is equal to one over the square root of 3. Thus:
Now, we can use the Pythagorean Theorem to find <em>y</em>. <em>y</em> is the hypotenuse. Thus: