Kai loves to hike. He wants to hike up a trail that rises at an angle of 50 degrees. The vertical distance from the top of the trail to the bottom is 180m. How far would he walk up the trail?

Answer 1

To find the distance Kai would walk up the trail, we can use trigonometry.

We know that the angle of elevation is 50 degrees and the vertical distance is 180m. Let the distance Kai would walk up the trail be x.

Using the trigonometric ratio for tangent:

tan(50 degrees) = 180/x

Now, solve for x:

x = 180/tan(50 degrees)
x ≈ 180/1.19
x ≈ 151.26 meters

Therefore, Kai would walk approximately 151.26 meters up the trail.