A mountain's peak is 880 m above sea level while the valley is 139 m below sea level. what is the elevation drop between the top of the mountain and the bottom of the valley?

Respuesta :

To find the elevation drop between a point above sea level and a point below sea level, you will need to add the absolute values (the distance from zero) to find how far apart they are.

|880| + |-139|=
880 + 139 = 1019 meters

The drop in elevation is 1019 meters.

Let

x--------->the top of the mountain above sea level

y--------> the bottom of the valley below sea level

z-------> the elevation drop between the top of the mountain and the bottom of the valley

we know that

[tex]z=\left|x\right|+\left|y\right|[/tex]

in this problem we have

[tex]x=880\ m\\ y=-139\ m[/tex]

substitute in the formula above

[tex]z=\left|880\right|+\left|-139\right|[/tex]

[tex]z=880+139[/tex]

[tex]z=1,019\ m[/tex]

therefore

the answer is

the elevation drop between the top of the mountain and the bottom of the valley is [tex]1,019\ m[/tex]