Question

Maya is camping at the top of mount Armstrong at an elevation of 7,832 meters. Juan is scuba diving 160 meters below sea level In Lake Junction, which is the base of mount Armstrong. The two decide to meet at the midpoint to have a picnic. At what elevation will maya and John meet

Answer 1

Elevation =
`39996-160=3836` meters (taking base of Mt. Armstrong as sea level)

Explanation:

The midpoint will be the half of their total distance.

If we take base of Mt. Armstrong to be 0, then Maya's distance is 7832 meters ABOVE and Juan's distance is 160 meters BELOW that.

The distance between them is thus
`7832+160=7992` meters.

We take half of this, to find midpoint. So:

`(7992)/(2)=3996` meters

This is 3996 meters from Juan or from Maya. If the picnic is going to be at 3996 meters ABOVE Juan and since base of mountain is where we start measuring, we subtract 160 (Juan's distance from base) from 3996 to get the ELEVATION.

Elevation =
`39996-160=3836`