Question

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

a. 171.5m
b. 169.1m
c. 1617.4m
d. 17.8m

Answer 1

This is the concept of trigonometry, to get the horizontal length we use the formula:
cos θ=(Adjacent)/(hypotenuse)
θ=6°
adjacent=x
hypotenuse=170m
thus the value of x will be:
x/170=cos6
hence:
x=170 cos 6
x=169.06872 meters

Answer: 169.06872 m