PLEASE HELP!!! 50 POINTS!! WILL GIVE BRAINLIEST!!!

Mathematics

1 answer:

kolbaska11 [484]2 years ago

8 0

Answer:

208.8 mi

Step-by-step explanation:

Form a triangle with the centre of the Earth (C) at one point, the horizon (H) as a second point, and the top of Mt. Everest (O) as the third (see diagram).

Let

r = Earth’s radius

h = height of Mt Everest

d = distance to horizon

∆CHO is a right triangle.

d² + r² = (r+h)²

d² + 3959² = (3959+5.5)²

d² + 15 673 681 = 3964.5²

d² + 15 673 681 = 15 717 260 Subtract 15 673 681 from each side

d² = 43 579 Take the square root of each side

d = 208.8 mi

The distance from the top of Mt Everest to the horizon is 208.8 mi.

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