Transcript Slide 1

Intro to
Trigonometric
Functions
Physics
Mrs. Coyle
Trig Ratios
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sin= O
H
cos= A
H
tan= O
A
SOH
CAH
Hypotenuse
Opposite
TOA
q
Adjacent
Angle of Elevation
q
Example 1
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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
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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?
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Answer: a)2,598.m, b)3000.m