Question

What is the length of AC¯¯¯¯¯

?



Enter your answer in the box.

Round only your final answer to the nearest whole number.

Answer 1

ANSWER

`AC=12cm`

EXPLANATION

We use the sine rule to obtain,


`(AC)/( \sin(71.6 \degree) ) = (13)/( \sin(85.2 \degree) )`

We solve for AC to obtain,


`AC= (13)/( \sin(85.2 \degree) ) * \sin(71.6 \degree)`

We simplify and round to the nearest whole number to obtain,


`AC= 12cm`

Answer 2

Answer: AC=12 cm

Explanation:

To solve this problem you must apply the law of sines, as you can see below:

`(a)/(sinA)=(b)/(sinB)`

Where:

a=13

A=85.2°

B=71.6°

Therefore, you must solve for b, then, you obtain that the lenght AC asked in the problem above is:

`b={sinB}*(a)/(sinA)\\b=(sin(71.6)*13)/(sin(85.2))\\b=12`