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Intro to Trigonometric Functions. Physics Mrs. Coyle. Trig Ratios. sin= O SOH H cos= A CAH H tan= O TOA A. H ypotenuse. O pposite. q. A djacent. Angle of Elevation. Angle of Elevation. q. Example 1.
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Intro to Trigonometric Functions Physics Mrs. Coyle
Trig Ratios • sin= OSOH H • cos= A CAH H • tan= O TOA A Hypotenuse Opposite q Adjacent
Angle of Elevation 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 Angle of Depression q
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