Question

Question #40999

Answer 1

See below.

Explanation:

`sin(A)/(BC)=sin(B)/(AC)`

Substitute the known stuff,

`sin(54)/(14)=sin(82)/(b)`

Plug the information into a calculator to get that:
`b=17`

Answer 2

`17` inches

Explanation:

There are two sides opposite two given angles.

Use the Sine rule

`b/sin82 =14/sin54`

`b = (14 sin82)/sin54`

`b=17.137`

Answer 3

A bit of reasoning:
Sides with longer lengths are opposite larger angles.

Explanation:

Since 82 > 54, the side opposite the larger angle must have a measure greater than 14". The only one of the choices that fits that criterion is 17".