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Intro to Trigonometric Functions Physics Mrs. Coyle Trig Ratios sin= O H cos= A H tan= O A SOH CAH Hypotenuse Opposite TOA q Adjacent Angle of Elevation q 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 Angle of Depression q Angle of Depression 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