Liola drives 17km up a hill that is at a grade of 14 degrees. What horizontal distance, to the nearest tenth of kilometer, has she covered?

16.5km

Step-by-step explanation:

Liola drives 17km up a hill that is at a grade of 14 degrees. What horizontal distance, to the nearest tenth of kilometer, has she covered?

We solve using Trigonometric function of Cosine

cos theta = Adjacent/Hypotenuse

Theta = 14°

Hypotenuse = Distance up the hill = 17km

Adjacent = Horizontal distance = x

Hence,

cos 14 = x/17

Cross Multiply

x = cos 14 × 17

x = 16.495027347km

Approximately = 16.5km

The horizontal distance = 16.5km

connie < felicia < stew

step-by-step explanation:

stew:

we need to find the slope

m = (y2-y1)/ (x2-x1)

    = (2650-795)/(10-3)

    = 1855/7

265 words per minute

connie:

we need to find the slope

m = (y2-y1)/ (x2-x1)

we have two points (0,0) and (4,800)

m = (800-0)/(4-0)

  m = 800/4

    200 words per minute

felicia:

260 words per minute

200< 260 < 265

connie < felicia < stew