Question

If a = 3 sqrt(3) in the right triangle shown, what is the value of b?

Answer 1

Note: Consider the below figure attached with this question.

Given:

`a=3√(3)`

To find:

The value of b.

Solution:

In a right angled triangle,

`\tan \theta = (Perpendicular)/(Base)`

For the given right angled triangle,

`\tan \theta = (a)/(b)`

`\tan (30^\circ) = (3√(3))/(b)`

`(1)/(√(3)) = (3√(3))/(b)`

On cross multiplication, we get

`1* b=3√(3)* √(3)`

`b=3(3)`

`b=9`

Therefore, the value of b is 9.