Question

In the triangle below, b= If necessary, round your answer to twodecimal places.

Answer 1

Given

The triangle,

To find:

The value of b.

Step-by-step explanation:

It is given that,

That implies,

By using sine law,

`(a)/(\sin A)=(b)/(\sin B)`

Since the sum of the angles in a triangle is 180°.

Then,

`\begin{gathered} \angle B=180-(32.5+26.8) \\ =180-59.3 \\ =120.7 \end{gathered}`

Therefore,

`\begin{gathered} (25)/(\sin(32.5))=(b)/(\sin(120.7)) \\ b=(25*\sin(120.7))/(\sin(32.5)) \\ b=(21.496)/(0.537) \\ b=40.008 \\ b=40.01 \end{gathered}`

Hence, the value of b is 40.01.