Island a is 250 miles from island b. a ship captain travels 260 miles from island a and then finds that he is off course and 160 miles from island b. what bearing should he turn to, so he is heading straight towards island b?
a. 111.65
b. 119.84
c. 21.65
d. 135.53

A. 111.65

Step-by-step explanation:

This scenario can be interpreted like a triangle ABC where A and B are islands and C is the point from where the captain is 160 miles from island B.

a = 160

b = 260

c = 250

Law of cosines

The internal angle is 68.35°

We have to find the external angle to find the bearing the captain should turn

Using the rule of supplimentary angles:

The external angle = 180 - 68.35 = 111.65°

Therefore, the captain should turn 111.65° so that he would be heading straight towards island B.

Hence, option 1 is correct ..

the answer to question 1 is -8, 28.

step-by-step explanation: