Look out for the rocks!

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

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Look out for the rocks!. Application of Trigonometry by Pete Anderson. Did you know. … the Lighthouse of Alexandria was one of the Seven Wonders of the Ancient World?. Web Source. Problem:. If a ship can spot the top of a lighthouse at an angle of - PowerPoint PPT Presentation

Transcript of Look out for the rocks!

Page 1: Look  out  for  the rocks!

Look out for the

rocks!Application of Trigonometry

by Pete Anderson

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Web Source

Did you know . . .

… the Lighthouse of Alexandria was one of the Seven Wonders of the Ancient World?

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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?

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Create a DiagramIf 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°

X150feet

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Writing an Equation

10°

X

150

150tan10

x

SOH

CAH

T

pneumonic

OA

OH A

sin

cos

tan

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Solving the Equation

150tan10

x 150

0.1763x

0.1763 150x

150

0.1763x

850.8x feet

150tan10

x

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Verify Your Solution

10°

X

150

850.8150

tan10x

850.8x feet

o 150tan10 =

850.8

0.1763 0.1763

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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 feetB. 179 feetC. 823 feetD. 842 feet

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Solution to Quiz

12°

X

175feet

12°

o 175tan12 =

x175

0.2126

0.2126 175

175

0.2126823.1

xx

x

x feet

o 175tan12 =

x

823.1x feet