Question

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

Answer 1

Answer:

$AB = 11.3$

Step-by-step explanation:

Given

The attached triangle

Required

Length AB

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

$\frac{a}{\sin(a)} = \frac{b}{\sin(b)} = \frac{c}{\sin(c)}$

So, we have:

$\frac{15}{\sin(70)} = \frac{AB}{\sin(45)}$

Make AB the subject

$AB = \frac{15}{\sin(70)} * \sin(45)$

$AB = \frac{15}{0.9397} *0.7071$

$AB = 11.3$