Question

A ship is 90 miles south and 20 miles east of port. If the captain wants to travel directly to port, what bearing should be taken?

A. S 76.5degrees E
B. N 12.5degrees W
C. N 77.5degrees E
D. S 12.5degrees W

Answer 1

The ship should take a bearing of S 75.6 degrees E to travel directly to the port.

Step-by-step explanation:

To find the bearing the ship should take, we can use the concept of trigonometry. We can draw a right triangle with the ship as the reference point, using the given distances of 90 miles south and 20 miles east. The bearing can then be found by calculating the angle formed between the reference line and the line connecting the ship and the port. Using the tangent function, we can find this angle to be approximately 75.6 degrees. Therefore, the ship should take a bearing of S 75.6 degrees E to travel directly to the port.