Question

What is the value of b in this diagam?

Answer 1

B=8

Explanation:

Answer 2

b = 8

Explanation:

Given : A triangle with side a= 12 , b = 6.33 and angles.

To find : What is the value of b in this diagam.

Solution : We have given that side a= 12 , b = 6.33

Angle A = 113.17

Angle B = 37.81 .

By the sin law:
`(b)/(sin B) =(a)/(sin A)`.

`(b)/(sin( 37.81)) =(12)/(sin( 113.17))`.

`(b)/(0.613) =(12)/(0.919)`.

On cross multiplication

b * 0.919 = 12 * 0.613 .

b * 0.919 = 7 .356

On dividing by 0.919

b = 8.004

Therefore, b = 8.