Question

Mt.Everest in the himalayas at 8488 km is the highest mountain in the world the marianas trench in the pacific ocean at 11.03 km is the deepest part of the ocean find the vertical distance from the top of the highest mountain in the world to the deepest part of the ocean?​

Answer 1

Step-by-step explanation:

From the highest mountain peak to the deepest ocean trench, the surface of the Earth spans a total of 12.3 miles (19.8 kilometers) of vertical distance

Answer 2

Given: Mt.Everest in the Himalayas at 8488 km is the highest mountain in the world. The Mariana trench in the pacific ocean at 11.03 km is the deepest part of the ocean.

To find: Vertical distance from the top of the highest mountain in the world to the deepest part of the ocean

Solution: Since the distances are measured vertically, let the Mt. Everest and Mariana Trench be two points on the y-axis with the sea level being the origin.

Mt.Everest is above the sea level. Therefore, it is on the positive side of y-axis.

The distance is 8488 km above sea level.

Point on the axis= (0,8488)

Mariana Trench is below the sea level. Therefore, it is on the negative side of y-axis.

The distance is 11.3 km below sea level.

Point on axis=(0,-11.03)

Distance between the two points can be calculated by distance formula:

$\sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} }$

where x1=x2=0, y1 = 8488 km and y2= -11.03 km

$= \sqrt{ {(0 - 0)}^{2} + {(8488 - ( - 11.03))}^{2} }$

$= \sqrt{ {(8488 + 11.03)}^{2} }$

= 8488 + 11.03

= 8499.03 km

Therefore, the vertical distance from the top of the highest mountain in the world to the deepest part of the ocean is 8499.03 km