Question

Delta Math! Please help.

Answer 1

x = 1.5
`√(3)`

Explanation:

using the sine ratio in the right triangle and the exact value

sin60° =
`(√(3) )/(2)` , then

sin60° =
`(opposite)/(hypotenuse)` =
`(x)/(3)` =
`(√(3) )/(2)` ( cross- multiply )

2x = 3
`√(3)` ( divide both sides by 2 )

x = 1.5
`√(3)`

Answer 2

According to diagram, this triangle is a right angled triangle.

So we can use trigonometric ratio to find the value of x

Now,

`\:\bf{sin 60° = (x)/(3)}`

=>
`\:\sf{(\sqrt(3))/(2)= (x)/(3)}`

=>
`\:\sf{(3\sqrt(3))/(2)= x}`

Hope this helps you!