Question

Solve for u. Show all work, be sure to use the equation editor.

Answer 1

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 u 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