Question

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

Answer 1

`x = 2`

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) = (3)/(x)`

multiply both sides by x

`x*tan(60) = (3)/(x)*x`

`x*tan(60) = 3`

Divide both sides by tan(60)

`(x*tan(60))/(tan(60) = (3)/(tan(60)`

`x = (3)/(tan(60)`

`x = 1.73`

`x = 2` (approximated to whole number)