Question

What is the value of x ​

Answer 1

15√2 is your answer

Explanation:

for your question

relation between perpendicular and hypotenuse is given by sin angle

sin45=p/h

sin45=x/30

x=sin45×30=15√2

Answer 2

We can solve it using trigonometric values.

So , sin θ = ( Perpendicular / Hypotenuese )

Given

Perpendicular = x

Hypotenuese = 30

`{ \sf{sin \: \: 45 {}^( \degree) = (1)/( √(2) ) = (x)/( 30) }}`

`{ \sf{x = (30)/( √(2) ) }}`

∴ x ( Perpendicular)= 15√2 Ans.