Question

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 jade she covered?

Answer 1

cosine ( CAH) = Adjacent/ hypothenus

cos9 = x/ 2

let x represent the horizontal distance

2 cos 9 = x

x = 2 (0.98768834)

x = 1.975

x = 1.97

therefore the horizontal dstance jade covers is 1.97km

Answer 2

The horizontal distance jade she covered is approximately 2.0 km.

Explanation:

Let x be the horizontal distance,

Given,

Viola drives 2 kilometers up a hill that makes an angle of 9 with the horizontal.

Thus, the angle between the horizontal and the direction of his walking = 9°,

The angle between the horizontal and vertical = 90°

By making the diagram of the given situation,

⇒ The angle between vertical and the direction of his walking = 180° - (9°+90°)=180° - 99° = 81°

By the law of sine,

`(sin 90^(\circ))/(2)=(sin 81^(\circ))/(x)`

`x* sin 90^(\circ) = 2* sin 81^(\circ)`

`x=1.97537668119\approx 2.0`

Hence, the horizontal distance jade she covered is approximately 2.0 km.