Aladder 5.10 m long leans against a wall inside a spaceship. from the point of view of a person on the ship, the base of the ladder is 2.50 m from the wall, and the top of the ladder is 4.45 m above the floor. the spaceship moves past the earth with a speed of 0.87c in a direction parallel to the floor of the ship. find the angle the ladder makes with the floor, as seen by an observer on earth.

The angle made by the ladder on the floor,

Given:

Length of the ladder, l = 5.10 m

Base of the ladder from the wall,

Top of the ladder,

Speed of the spaceship,

Explanation:

Now, using the formula for length contraction from Einstein's theory of relativity:

where

c = speed of light in vacuum

From the above relation for length contraction:

L = 1.233 m

Now, the angle made by the ladder on the floor:

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