Answer:
(B) sin(60°) = 4/x
Explanation:
You want an equation for finding the hypotenuse of a 30°-60°-90° triangle with the middle-length side being 4 units.
Sine
The trig relation between the side opposite and angle and the hypotenuse of the right triangle is ...
Sin = Opposite/Hypotenuse
Application
In this triangle, this relation means ...
sin(60°) = 4/x . . . . . matches choice (B)
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Additional comment
The middle-length side is opposite the middle length angle.
This is a "special" right triangle with sides in the ratios 1 : √3 : 2. The length x will be 4(2/√3) = (8/3)√3. It can be useful to remember the side length ratios for this triangle.
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