Question

Viola drives 2 kilometers up a hill that makes an angle of 4 degrees with the horizontal. To the nearest tenth of a kilometer, what horizontal distance has she covered

Answer 1

2.0 km

Explanation:

From the diagram attached,

cosθ = adjacent/Hypotenus

cos4° = x/2

make x the subject of the equation

x = 2cos4°

x = 2(0.998)

x = 1.995

x = 2.0 km. (to the nearest tenth)

Hence the horizontal distance is 2.0 km