1. Right Triangle Trigonometry A B C SOHCAHTOA

2. Geometry - earth measurement Trigonometry - triangle measurement Sine of an angle = Opposite leg Hypotenuse Cosine of an angle = Adjacent leg Hypotenuse Tangent of an angle = Opposite leg Adjacent leg

3. 1. Label the sides Opposite, Adjacent, or Hypotenuse as needed. 2. Decide which trigonometric function to use: sine, cosine, or tangent based on #1. 3. Write your equation in this format: Sin or Cos or Tan Angle = O or A or O H H A

4. Angles of Elevation

5. An ant at a point 10 m from the base of a tree uses a 58  angle of elevation to sight the tree’s top. Find the height of the tree. 58  10 m x

6. Baby Bop is flying a kite and has let out 80 m of string. The angle of elevation with the ground is 40 . If the string is stretched straight, how high is the kite above the ground? 40  80 m

7. Angles of Depression From the top of an offshore oil rig, 130 feet above sea level, the angle of depression of a passing ship is 32°. Find the distance between the ship and the base of the oil rig. 32°

8. A scout on top of a 1500 ft. mountain spots a campsite. If he measures the angle of depression at 33°, how far is the campsite from the foot of the mountain? 33° 1500 ft

9. A blimp is hovering over the center of a stadium at an altitude of 800 ft. If the radius of the base of the stadium is 1200 ft. What is his angle of depression to sight the back wall of the stadium?