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Chapter 9
COMPLETE THE RATIO:
Tan x = _____6
8
10
x
Tan x = 68
__
COMPLETE THE RATIO:
Sin x = _____6
8
10
x
Sin x = 6
10___
COMPLETE THE RATIO:
Cos x = _____6
8
10
x
Cos x = 810
___
What does
“SOH CAH TOA”
stand for?
Sin =
Cos =
Tan =
Opposite LegHypotenuse
Adjacent LegHypotenuse
Opposite LegAdjacent Leg
_____________
_____________
____________
A surveyor stands 200 feet from a building to measure its height with a 5 foot tall
theodolite. The angle of elevation to the top of the building is 35 degrees.
How tall is the building?
200
350
x
5
Tan 35 = x/200x = 140
145 ft
An airplane flying 3500 feet above ground begins a 2 degree descent to land at an
airport. How many miles from the airport is the airplane when it starts its descent?
20
Sin 20 = 3500/xx = 100,288 ft or 19 miles
3500x
COMPLETE THE RATIO:
6
8
10 Cot x = _____
x
6
8
10
Cot x = 8/6
x
COMPLETE THE RATIO:
6
8
10 Csc x = _____
x
6
8
10
Csc x = 10/6
x
COMPLETE THE RATIO:
6
8
10 Sec x = _____
x
6
8
10
Sec x = 10/8
x
COMPLETE:
1) sin2 + cos2 = _____
2) sin/cos = _____
3) (sin)(_____) = 1
1) sin2 + cos2 = 1
2) sin/cos = tan
3) (sin)( csc ) = 1
REVIEW
Factor: 2x2 + 3x - 5
2x2 + 3x - 5 = (2x + 5)(x - 1)
