The distance the hiker traveled along the path if he has traveled a horizontal distance of 120 feet is 120.7 feet.
What are the trigonometric ratios?
Trigonometric ratios for a right-angled triangle are from the perspective of a particular non-right angle.
In a right-angled triangle, two such angles are there which are not right angled(not of 90 degrees).
The slanted side is called the hypotenuse.
From the considered angle, the side opposite to it is called perpendicular, and the remaining side will be called the base.
A portion of a hiking trail slopes downward at about an 84° angle.
The distance the hiker traveled along the path if he has traveled a horizontal distance of 120 feet
cos θ=adjacent/hypotenuse
Let h be the hypotenuse, adjacent =120 ft, θ = 84°,
cos 84 = 120/h
h = 120/cos 84
h = 120 / 0.10 ft
h = 120.7 ft
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