Question

A portion of a hiking trail slopes upward at about a 6 degree angle. To the nearest tenth of a foot, what is the value of x, the hiker's change in vertical position, if he has traveled a horizontal distance of 120 feet?

Answer 1

The vertical distance will be given by:
sin θ=opposite/hypotenuse
but
θ=6°
opposite=x
hypotenuse=120 ft
thus
sin 6=x/120
x=120 sin 6
x=12.54 ft
thus the hiker's change of position is 12.54 ft

Answer 2

12.4 is your answer my young boi