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Intro to Trigonometric Functions

Intro to Trigonometric Functions

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Intro to Trigonometric Functions

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  1. Intro to Trigonometric Functions Physics Mrs. Coyle

  2. Trig Ratios • sin= OSOH H • cos= A CAH H • tan= O TOA A Hypotenuse Opposite q Adjacent

  3. Angle of Elevation Angle of Elevation q

  4. Example 1 • A tourist is standing 150.m from the base of a historic building. If the angle of elevation is 40.0o, how tall is the building. • Strategy: Draw a labeled diagram. Select the suitable trig ratio. Solve for the unkown. • Answer: 126 m

  5. Angle of Depression Angle of Depression q

  6. Example 2 • A Cesna is flying at an altitude of 1,500.m at the same horizontal level as a nearby mountaintop. A hiker at the top of the mountain observes the plane and directly below the plane he sees a lake at an angle of depression of 30.00o below the horizontal. At that instant, what is the distance: a) between the airplane and the hiker and b) between the hiker and the lake? • Answer: a)2,598.m, b)3000.m