# Chapter 9. COMPLETE THE RATIO: Tan x = _____ 6 8 10 x.

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Chapter 9

COMPLETE THE RATIO: Tan x = _____ 6 8 10 x

Tan x = 6 8 __

COMPLETE THE RATIO: Sin x = _____ 6 8 10 x

Sin x = 6 10 ___

COMPLETE THE RATIO: Cos x = _____ 6 8 10 x

Cos x = 8 10 ___

What does “SOH CAH TOA” stand for?

Sin = Cos = Tan = Opposite Leg Hypotenuse Adjacent Leg Hypotenuse Opposite Leg 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?

200 35 0 x 5 Tan 35 = x/200 x = 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?

2020 Sin 2 0 = 3500/x x = 100,288 ft or 19 miles 3500 x

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)sin 2 + cos 2 = _____ 2)sin/cos = _____ 3) (sin)(_____) = 1

1)sin 2 + cos 2 = 1 2)sin/cos = tan 3) (sin)( csc ) = 1

REVIEW Factor: 2x 2 + 3x - 5

2x 2 + 3x - 5 = (2x + 5)(x - 1)

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