Chapter 8.1, Problem 64AYU

To determine

To find: What is the bearing to the ship from port?

Answer to Problem 64AYU

The bearing of the ship from the port is $\text{S}16.6°\text{E}$.

Explanation of Solution

Given:

A ship leaves the port of Miami with a bearing of $\text{S}80°\text{E}$ and a speed of 15 knots. After 1 hour, the ship turns $90°$ toward the south. After 2 hours, it maintains the same speed.

Formula used:

$\text{tanA }=\frac{\text{opp side}}{\text{base}}$

Calculation:

$\tan \left(80-\theta \right)=\frac{30}{15}=2$

$80-\theta ={\tan }^{-1}2$

$\theta =80-63.4=16.6°$

$\theta =16.6°$

The bearing of the ship from the port is $\text{S}16.6°\text{E}$.