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

Question

3 years ago

15

he covered?

1 answer:

nevsk [136] · Answer 1 · 2022-07-10T19:29:11+03:00

Answer:

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