---
title: "Two racing boats set out from the same dock and speed away at the same constant speed of \\(101 \\, \\text{km/h}\\) for half an hour (\\(0.5 \\, \\text{hr}\\)). Boat 1 is headed \\(27.6^\\circ\\) south of west, and Boat 2 is headed \\(35.3^\\circ\\) south of west, as shown in the graph above. During this half-hour calculate:"
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url: "https://nerd-notes.com/ubq/19538/"
date_modified: "2026-04-27T11:33:47+00:00"
---

# Two racing boats set out from the same dock and speed away at the same constant speed of \(101 \, \text{km/h}\) for half an hour (\(0.5 \, \text{hr}\)). Boat 1 is headed \(27.6^\circ\) south of west, and Boat 2 is headed \(35.3^\circ\) south of west, as shown in the graph above. During this half-hour calculate:

Two racing boats set out from the same dock and speed away at the same constant speed of \(101 \, \text{km/h}\) for half an hour (\(0.5 \, \text{hr}\)). Boat 1 is headed \(27.6^\circ\) south of west, and Boat 2 is headed \(35.3^\circ\) south of west, as shown in the graph above. During this half-hour calculate:

![Diagram](https://nerd-notes.com/wp-content/uploads/ubq-diagrams/nerd-notes-diagram-19538-1777289510-PAHSBt.jpg)

**Part a)** How much farther west does Boat \(1\) travel, compared to Boat \(2\) in kilometers. *(3 points)*

**Part b)** How much farther south does Boat \(2\) travel, compared to the Boat \(2\) in kilometers. *(3 points)*


*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/19538/*