Question

What is the length of segment HK?

Answer 1

`\\ \rm\Rrightarrow sin\theta=(Perpendicular)/(Hypotenuse)`

`\\ \rm\Rrightarrow sin30=(JK)/(HK)`

`\\ \rm\Rrightarrow sin30=(22)/(HK)`

`\\ \rm\Rrightarrow HK=(22)/(sin30)`

`\\ \rm\Rrightarrow HK=44`

Answer 2

`▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪`

Let's take length of HK = n

By using trigonometry,

• 
  `\sin(30) = (22)/(n)`

• 
  `(1)/(2) = (22)/(n)`

• 
  `n = 44`

Hence, value of HK = 44 cm