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Quick Quiz

Quick Quiz. Find the unknown angle, show working TOA = = 30.379… = 30 22 44.85. Trigonometry. What have we learnt? About SOH CAH TOA How to find the length of an unknown side How to find an unknown angle Where to now?

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Quick Quiz

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  1. Quick Quiz • Find the unknown angle, show working • TOA • = = 30.379… = 30 22 44.85

  2. Trigonometry • What have we learnt? • About SOH CAH TOA • How to find the length of an unknown side • How to find an unknown angle • Where to now? • How to round our angle measure • To use our knowledge in solving real life problems

  3. All about angles… • Angles are measured in degrees • Degrees can be divided into smaller units • There are 60 minutes in 1 degree (minute symbol is ) • And there are 60 seconds in 1 minute (second symbol is )

  4. Rounding angles… • On your calculator, we use the button to convert a decimal answer into degrees, minutes and seconds. • For example: 45.2514 • Becomes 45 15 5.04 • degrees minutes seconds • Remember that there are 60 seconds in a minute • We can round our result to the nearest minute • 45 15 (to nearest minute) • 45(to nearest degree) 5 round up leave same 15 30

  5. Another example… • Example 2: 30.75978 • Becomes 30 45 35.21 • degrees minutes seconds • 30 46 (to nearest minute) • 31(to nearest degree) round up leave same 45 35 30

  6. Your turn… • Convert 70.6231 to degrees, minutes, seconds and round to the nearest minute • 70 37 23.16 = 70 37 • Convert 26.565 to degrees, minutes, seconds and round to the nearest minute • 26 33 54 = 26 34 • Find and round to the nearest degree • 62 57 51.51 = 63

  7. Angles of Elevation & Depression • Angle of elevation is the angle of looking up, measured from the horizontal.

  8. Angle of depression is the angle of looking down, measured from the horizontal.

  9. Examples….. TOA

  10. Example 2….. There are many different ways to approach this question.

  11. Practice…. • Practical problems: ex 14D Q4,5,6 (pg 504) • Using angles of elevation & depression in application: Complete any 5 questions from ex14G (pages 518,519) • If you would like to see more worked examples see page 516 and page 518 of your textbook

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