Viola drives 2 kilometers up a hill that makes an angle of 9 with the horizontal. To the nearest tenth of a kilometer, what horizontal distance has she covered? Group of answer choices 12.6 km 3.2 km 2 km 0.3 km

Choice 2 km is right

Step-by-step explanation:

Let x be the horizontal distance covered by Viola.

Given:

Viola drives up-side of a hill = 2 km

Make an angle with horizontal (Theta = 9°)

We need to find the horizontal distance covered by Viola.

Solution:

First we draw a triangle abc where ab = 2 km, ac = x and ∠cab = 9°.

Using cosine law.

from the figure adjacent = ac and hypotenuse = ab.

Substitute ab = 2, ac = x and (Theta = 9°).

x ≅ 2 km

Therefore, horizontal distance covered by Viola is approx 2 km.

step-by-step explanation:

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