Question

Find the length of x and y in the following figure.

Answer 1

Given:

A right triangle

∠ = 60°

Side adjacent to the 60° angle = 2

Finding x, y

Use tan ⁡60° = `"opposite"/"adjacent" = x/2`

tan(60°) = `sqrt3`

= `sqrt3 = x/2`

= `x = 2 sqrt3`

cos 60° = `"adjacent"/"hypotenuse" = 2/y`

cos 60° = `1/2`

`1/2 = 2/y`

y = 4