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Final: Ship and Plane

Part of the Triangles Without Right Angles section of Coddy's Trigonometry journey. Lesson 36 of 37.

A ship and a search plane leave a base P together. The ship heads out on bearing 070° and is 54 km from P when it stops; the plane flies on bearing 165° and is 40 km from P.

Challenge

A ship and a search plane leave a base P together. The ship heads out on bearing 070° and is 54 km from P when it stops; the plane flies on bearing 165° and is 40 km from P.

Find the distance x between the ship and the plane, to two decimal places, and press Check.

Try it yourself

$Use the figure to find x$

Use the figure to find x

Test yourself

This lesson includes a short quiz. Start the lesson to answer it and track your progress.

All lessons in Triangles Without Right Angles

1Across the Lake

Across the Lake Why the Law of Sines Holds Two Coast Stations Recap: Law of Sines

4Law of Cosines: SSS

Three Sides, One Angle The Largest Angle A Triangular Field Recap: Three Sides

7Bearings and Navigation

Reading Bearings Two Ships From Port Turning Off Course Finding a Course Angle Recap: Ships at Sea

2The Ambiguous Case

Finding an Angle Two Triangles Radio Coverage Recap: How Many Triangles?

5Which Law to Use

Sines or Cosines?Not Between Three Towns Recap: Pick the Law

8Final Challenges

Final: Across the Canyon Final: Every Triangle Final: A Plot of LandFinal: Ship and PlaneFinal: The Largest Angle

3Law of Cosines: SAS

The Law of Cosines An Obtuse Angle Between Through the Hill A Hooked Drive Recap: Two Sides, One Angle

6Area of a Triangle

Area With a Sine Area With an Obtuse Angle Working Backwards The Angle From the Area Heron's Formula Recap: A Garden Bed