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Final: Across the Canyon

Part of the Triangles Without Right Angles section of Coddy's Trigonometry journey. Lesson 33 of 37.

Two points A and B on one rim of a canyon are 64 m apart. A rock C stands on the far rim. The angle between AB and the line to the rock is 72° at A and 58° at B.

Challenge

Two points A and B on one rim of a canyon are 64 m apart. A rock C stands on the far rim. The angle between AB and the line to the rock is 72° at A and 58° at B.

Find the distance x from A to the rock, 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 CanyonFinal: Every Triangle Final: A Plot of Land Final: Ship and Plane Final: 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