A portion of a hiking trail slopes upward at about a 6 angle. To the nearest tenth of a foot, what is the value of x, the distance the hiker traveled along the path, if he has traveled a horizontal distance of 120 feet?

The distance covered by the hiker if he traveled a horizontal distance of 120 ft at and angle of 6° will be given by:

cos θ=adjacent/hypotenuse

let the hypotenuse be h, adjacent = 120 ft, θ=6°, thus plugging in the values we shall have:

cos 6=120/h

h=120/cos 6

h=120.661 ft

Answer: 120.661 ft