Question

Please help me thank you

Answer 1

`x = 2√(5)`

Explanation:

Given

The attached triangle

Required

Find x

Using the sin function

`sin(\theta) = (Opposite)/(Adjacent)`

`sin(30) = (√(5))/(x)`

Make x the subject

`x = (√(5))/(sin(30))`

`x = (√(5))/(1/2)`

Express as:

`x = √(5)/1/2}`

`x = √(5)*2/1`

`x = √(5)*2`

`x = 2√(5)`