Question

Viola drives 170 m up a hill that makes an angle of 6° with the horizontal. Rounded to the nearest tenth of a meter, what horizontal distance has she covered?

Answer 1

Viola is travelling on an inclined path up the hill which makes an angle of 6 degrees with the horizontal.

The horizontal distance covered by Viola will be equal to the horizontal component of the 170 m distance covered at 6 degrees. 

So, the horizontal distance covered by Viola = 170 cos(6) = 169.1 m

Thus, Viola covered 169.1 m horizontal distance

Answer 2

Cos(theta) = adjacent/hypothenuse

adjacent = horizontal distance
adjacent = costheta*hy[pthenuse = cos(6) * 170 = 169.07m