Question

find u.
right triangle with right angle, one leg 16 m, angles 60° and 30°, side u
write your answer in simplest radical form.
blank meters
submit

Explanation:

Step1: Identify trigonometric ratio

We use tangent, since we have the adjacent side (16 m) to the 60° angle, and \(u\) is the opposite side to this angle. The tangent formula is:
$\tan(\theta) = \frac{\text{opposite}}{\text{adjacent}}$

Step2: Substitute known values

Substitute $\theta=60^\circ$, opposite=$u$, adjacent=16:
$\tan(60^\circ) = \frac{u}{16}$
We know $\tan(60^\circ)=\sqrt{3}$, so:
$\sqrt{3} = \frac{u}{16}$

Step3: Solve for u

Multiply both sides by 16:
$u = 16\sqrt{3}$

Answer:

$16\sqrt{3}$ meters