Intro to Trigonometric Functions

1
Intro to Trigonometric Functions

• Physics
• Mrs. Coyle

2
Trig Ratios

• sin O SOH
• 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