Transcript Chapter 9 COMPLETE THE RATIO: x Tan x = _____ __ Tan x =

Chapter 9
COMPLETE THE RATIO:
10
6
x
8
Tan x = _____
6
__
Tan x =
8
COMPLETE THE RATIO:
10
6
x
8
Sin x = _____
6
___
Sin x =
10
COMPLETE THE RATIO:
10
6
x
8
Cos x = _____
8
___
Cos x =
10
What does
“SOH CAH TOA”
stand for?
Opposite Leg
_____________
Sin =
Hypotenuse
Adjacent
Leg
_____________
Cos =
Hypotenuse
Opposite
Leg
____________
Tan =
Adjacent 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?
Tan 35 = x/200
x = 140
x
350
5
200
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?
Sin 20 = 3500/x
x = 100,288 ft or 19 miles
20
3500
x
COMPLETE THE RATIO:
6
Cot x = _____
10
x
8
Cot x = 8/6
6
10
x
8
COMPLETE THE RATIO:
6
Csc x = _____
10
x
8
Csc x = 10/6
6
10
x
8
COMPLETE THE RATIO:
6
Sec x = _____
10
x
8
Sec x = 10/8
6
10
x
8
COMPLETE:
1)
sin2 + cos2 = _____
2)
sin/cos = _____
3)
(sin)(_____) = 1
1)
sin2 + cos2 = 1
2)
sin/cos = tan
3)
(sin)( csc ) = 1
REVIEW
Factor:
2
2x
+ 3x - 5
2x2 + 3x - 5 = (2x + 5)(x - 1)