The top of a mountain is 2,450 feet above sea level a shipwreck was discover 310 feet below sea level what is the distance between the mountain top and the ship wreck

Respuesta :

Answer:

[tex]d=2,760\ ft[/tex]

Step-by-step explanation:

Let

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

y ----> the deep of a shipwreck below the sea level

we know that

The sea level represent the height equal to zero

In this problem we have

[tex]x=2,450\ ft[/tex] ---> is positive because is above sea level

[tex]y=-310\ ft[/tex] ---> is negative because is below sea level

To find out the distance between the mountain top and the ship wreck, determine the absolute value of the difference between the two values

[tex]d=\left|x-y\right|[/tex]

substitute the values

[tex]d=\left|2,450-(-310)\right|[/tex]

[tex]d=\left|2,450+310\right|[/tex]

[tex]d=\left|2,760\right|[/tex]

[tex]d=2,760\ ft[/tex]