1. Intro to Trigonometric Functions Physics Mrs. Coyle

2. Trig Ratios sin= O SOH sin= O SOH H cos= A CAH cos= A CAH H tan= O TOA tan= O TOA A  Adjacent Hypotenuse Opposite

3. Angle of Elevation 

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

5. Angle of Depression 

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 30.00 o 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? 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 30.00 o 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 Answer: a)2,598.m, b)3000.m