Look out for the rocks! Application of Trigonometry by Pete Anderson.

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Presentation transcript:

Look out for the rocks! Application of Trigonometry by Pete Anderson

Web Source Did you know... … the Lighthouse of Alexandria was one of the Seven Wonders of the Ancient World?

Problem: If a ship can spot the top of a lighthouse at an angle of elevation of 10° and the height of the lighthouse is know to be 150 feet above sea level, then how far from the lighthouse is the ship?

Create a Diagram If a ship can spot the top of a lighthouse at an angle of elevation of 10° and the height of the lighthouse is known to be 150 feet above sea level, then how far from the lighthouse is the ship? 10° X 150 feet

Writing an Equation 10° X 150 S OH C AH T pneumonic OA O H A sin cos tan

Solving the Equation

Verify Your Solution 10° X 150 

Quiz If a lighthouse keeper spots a ship at an angle of depression of 12° and the height of the lighthouse is know to be 175 feet above sea level, then how far from the lighthouse is the ship? A. 37 feet B. 179 feet C. 823 feet D. 842 feet

Solution to Quiz 12° X 175 feet 12°

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