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

idk

step-by-step explanation:

the answer is:

the correct option:

b.

to solve the problem, we need to remember how to operate to simplify exponential expressions using the logarithms.

we are given the equation:

then, using placing logarith with base 7 on both sides of the equation, we have:

so, rounding the obtained result to two decimal places (nearest hundreth), we have:

hence, we have that the correct option:

b.

have a nice day!