Question

A sailor on Ship A measures the angle between Ship B and the pier and finds it to be 39°. A sailor on Ship B measures the angle between Ship A and the pier and finds that it is 58°. What is the measure of the angle between Ship A and Ship B?

The measure between Ship A and Ship B is

Answer 1

`83^(\circ)`

Explanation:

Let
`C` be the point that denotes the pier.

`m\angle B=58^(\circ)`

`m\angle A=39^(\circ)`

The angle between A and B is C

`m\angle A+m\angle B+m\angle C=180^(\circ)\\\Rightarrow m\angle C=180^(\circ)-(m\angle A+m\angle B)\\\Rightarrow m\angle C=180^(\circ)-(58^(\circ)+39^(\circ))\\\Rightarrow m\angle C=83^(\circ)`

The measure of the angle between Ship A and Ship B is
`83^(\circ)`.