What horizontal distance has she covered?

ANSWER

169.1m

EXPLANATION

From the diagram, the horizontal distance traveled is x meters.

This is the side adjacent to the 6° angle.

Since we know the hypotenuse to be 170m, we use the cosine ratio to find the value of x.

.

This implies that

x=170cos(6°)

x=169.0687222

To the nearest tenth, the horizontal disance travelled is 169.1m

let y equal to

the total fare and x is the mile of taxi ride. so the equation is

y = 0.55x + 1.75

since susie has

$10 to spend for a taxi cab, so he can have

10 = 0.55x +

1.75

x = 15 miles of

taxi ride

so the system of

inequality is

10 < 0.55x +

1.75

x > 2