Question

The value of x is:

.
9.
18.
None of these choices are correct.

Answer 1

Hello!

In the given figure we can see that it is a right angled triangle .

Where,

Base is 9

We have to find the value of x i.e Hypotenuse

Here we are given base and we need to find the Hypotenuse.

Also we have been given the value of theta = 45°

Using trigonometric ratio :

cos
`\theta = ( B)/(H)`

As per the question we have hypotenuse = x

Plugging the required values,

`\cos 45 \degree = (9)/(x)`

`(1)/( √(2) ) = (9)/(x) \: \: \: \: \bigg(\because \cos 45\degree = (1)/(\sqrt2) \bigg)`

further solving by cross multiplication

`x = 9 √(2)`

Hence, The value of x is 9√2

Answer : Option 1

Hope it helps! :)