Trig Ratios 1
SOH CAH TOA
What is the acronym we always use to set up trigonometric ratios?
sinx=1, find the value of x
x= sin-1(1)
=90 O
If you are standing on a cliff looking down at the ocean, is the angle to the ocean an angle of elevation or depression?
What is an angle of depression?
opposite/ hypotenuse
What is the sin ratio?
sinx= 0.5
Find the value of x
x=sin -1(0.5)
x=30
Nathan is standing 30 meters from the base of a building. The angle of elevation to the top of the building is 35 degrees. To the nearest meter, how tall is the building?
21 m
tan35=h/30
30 tan35 =h
adacent/hypotenuse
What is the cos ratio?
cosx=1, find the value of x
x= cos-1(1)
- 90 degree
Fiona is standing 15 feet from the base of a tree. She sees a bird's nest in the tree and measures the angle of elevation to the nest at 62 degrees. How high, to the nearest foot, is the nest above the ground?
19 m
tan 62= h/15
15 tan62 = h
opposite/ hypotenuse
What is the tan ratio?
tanx=1, find the value of x
x=tan-1(1)
=45 o
A great white shark swims 22 feet below sea level. If the shark is 67 feet away from a sailboat, what is the angle of depression (rounded to the nearest degree) to the shark?
tanx=22/67
x= tan-1(22/67)
= 18 o
The opposite 90 degree angle is called
hypotenuse
sinx= 0.6789
find the value of x
x= sin-1(0.6789)
=42.8
= 43