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Sine and Cosine Ratios

Srouce: Winter Landscape - Jag_cz/iStock/Getty Images

Introduction

Sources: Star Gazing - Allexxandar/iStock/Getty Images;

Mountain Climber - kieferpix/iStock/Getty Images

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Lesson Goals

  • Compute the sine and cosine ratio for an acute angle in a right-angled triangle given the side lengths.
  • Solve for an unknown side length in a right-angled triangle using the sine or cosine ratio.
  • Solve for an interior angle in a right-angled triangle using the inverse sine and cosine operations on your calculator.

Try This

A block is placed near the end of a \(2\) metre long horizontal board. The same end is then raised off of the ground so that the board becomes inclined. The block will slip when the angle between the board and the floor reaches \(30^{\circ}\).

How high must the end of the board be raised for the block to slip?