Question

Please Help!!! Find X for the triangle shown.

Answer 1

Answer:

$x = 2$

Step-by-step explanation:

Given a right-angled triangle as shown above,

Included angle = 60°

Opposite side length = 3

Adjacent side length = x

To find x, we would use the following trigonometric ratio as shown below:

$tan(60) = \frac{3}{x}$

multiply both sides by x

$x*tan(60) = \frac{3}{x}*x$

$x*tan(60) = 3$

Divide both sides by tan(60)

$\frac{x*tan(60)}{tan(60} = \frac{3}{tan(60}$

$x = \frac{3}{tan(60}$

$x = 1.73$

$x = 2$ (approximated to whole number)