Question

Can you help me with this question please.

Answer 1

`x = 4√(3)`

Explanation:

The triangle is right-angled

In a right-angled triangle, the following equality holds

`\tan x = \frac{\text{Side Opposite x}}{\text{Side adjacent to x}}\\\\\tan 30 = (4)/(x)\\\\`

`\tan 30 = (1)/(√(3))\\\\(1)/(√(3)) = (4)/(x)\\\\`

Cross multiply:

`1 * x = 4 * √(3)\\\\x = 4√(3)`