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Final: Ship and Plane

Part of the Triangles Without Right Angles section of Coddy's Trigonometry journey. Lesson 43 of 44.

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 Sines Past 90°Cosines Past 90°Recap: Across the River

4Law of Cosines: SAS

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

7Area 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

2Law of Sines: AAS and ASA

Why the Law of Sines Holds Pair Side With Angle The Third Angle First Two Coast Stations Recap: Law of Sines

5Law of Cosines: SSS

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

8Bearings and Navigation

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

3The Ambiguous Case

Finding an Angle Two Triangles The Height Test An Obtuse Given Angle Radio Coverage Recap: How Many Triangles?

6Which Law to Use

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

9Final Challenges

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