Atower has an observation deck about 200 m above ground level. about how far is it from the observation deck horizen knowing that the earth's radius is 6400km?

Horizon is 35777.64 m away from observation deck.

Step-by-step explanation:

Since we have given that

Height of tower above ground level = 200 m

Radius of earth = 6400 km

Let R be the radius of earth.

Let the height of observation and

Let d be the distance from observation deck to horizon.

so, it makes a right angle triangle.

Hence, horizon is 35777.64 m away from observation deck.

He is a a distance of 50.597 km from the observable deck of horizon.

Step-by-step explanation:

The distance from a height 'h' to the observable horizon ignoring the effects due to refraction in atmosphere is given by the formula

where

d = distance to observable horizon

h = height of observer from the sea level

R = Radius of earth

Applying the values we get