Answer:
15.5 yards
They will be picked up at an elevation of 15.5 yards
Step-by-step explanation:
Here we are going to make the ski slope of the mountain as the hypotenuse of a right-angled triangle where the top of the slope and bottom of the slope are two ends of the hypotenuse.
We first have to find the height of the top of the mountain with respect to the bottom.
Here we have been given heights with respect to sea level above and below.
Clearly, sum of the distances above and below sea level will be total elevation with respect to the bottom.
h1 - Height of summit above sea level
h2 - Height of bottom below sea level
Hb - Elevation of top w.r.t bottom
Hb = h1 + h2
Hb = [tex]17\frac{3}{4}+13\frac{1}{4}[/tex]
Hb = 31 yards
Now, the ski lift is picking them up in the middle of the slope (hypotenuse of the triangle).
By midpoint theorem line segment parallel to base joins the midpoints of the other 2 sides.
Thus the elevation will clearly be half of total elevation.
Height at which they are picked up is Hb/2
Therefore,
They will be picked up at an elevation of 15.5 yards
