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Solving Word Problems Using Trigonometry

Solving Word Problems Using Trigonometry. Ms. Baker Taylor Road MS March, 2013. New Vocabulary. Several new terms are used in word problems, and you need to know them!. Angle of Depression. Angle of Elevation. A little more information….

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Solving Word Problems Using Trigonometry

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  1. Solving Word Problems Using Trigonometry Ms. Baker Taylor Road MS March, 2013

  2. New Vocabulary Several new terms are used in word problems, and you need to know them!

  3. Angle of Depression

  4. Angle of Elevation

  5. A little more information… As seen in the diagram above of angle of depression, the dark black horizontal line is parallel to side CA of triangle ABC. This forms alternate interior angles which are equal in measure (so, x also equals the measure of ). Simply stated, this means that:the angle of elevation = the angle of depression.

  6. More about Angles of Depression

  7. Subtended Angle This is an angle formed by an external point. It’s easier to see, than describe…so click on the link to see a great example! http://www.mathopenref.com/subtend.html

  8. Your turn… 1. A ramp is to be placed from a loading platform onto the back of a truck. The truck can get no closer than 3 feet to the platform. The truck bed is 1.5 feet higher than the loading platform. Find the angle of elevation from the platform to the truck bed.

  9. Make a drawing!! truck bed 1.5 feet  3 feet loading platform

  10. Now…Solve

  11. One more for good luck! 2. A jet is flying at an altitude of 30,000 feet. An air traffic controller measures the angle of elevation to the plane to be 16.5°. Find the horizontal distance of the plane from the airport.

  12. Draw a picture! – It really helps, I promise. d airplane 30000 feet 16.5° air traffic controller d = Distance from airport

  13. Solve! So…The airplane is 101278.3 feet from the airport.

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