Answer:
u = 2√3 ≈ 3.46410162
Step-by-step explanation:
Because this is a right triangle, you can use the trigonometric formulas:
tangent = opposite side/adjacent side
sine = opposite side/hypotenuse
cosine = adjacent side/hypotenuse
Here, we have the measure of an angle, 60°. Side <em>u</em> is opposite to it and the hypotenuse, 4, is given. We can use these numbers to work with:
sine = opposite side/hypotenuse
sin(60) = u/4
sin(60)/1 = u/4
Cross multiply:
u = 4 (sin(60))
Input into calculator:
u = 2√3 ≈ 3.46410162