Question

Use law of sines or law of cosines to find the length of side AB Please show work !!

Answer 1

`AB = 11.3`

Explanation:

Given

The attached triangle

Required

Length AB

To do this, we make use of sine law which is represented as:

`(a)/(\sin(a)) = (b)/(\sin(b)) = (c)/(\sin(c))`

So, we have:

`(15)/(\sin(70)) = (AB)/(\sin(45))`

Make AB the subject

`AB = (15)/(\sin(70)) * \sin(45)`

`AB = (15)/(0.9397) *0.7071`

`AB = 11.3`