Question

A ship is 40 miles east and 25 miles south of port. The captain wants to sail directly to port. What bearing should be taken?

Answer 1

N58°W

Explanation:

The trigonometry diagram has been attached below :

To obtain the angle θ ;

Tan θ = opposite / Adjacent

Tan θ = 40 / 25

Tan θ = 1.6

θ = tan^-1(1.6)

θ = 57.99°

Henve, bearing directly to Port is :

N58°W