135k views
2 votes
A 1.60m tall woman stands next to the eiffel tower. at this time of day, her shadow is 0.50m long. at the same time, the towers shadow is 93.75m long. How tall is the eiffel tower?

1 Answer

2 votes

Final answer:

The height of the Eiffel Tower is 300 meters.

Step-by-step explanation:

To find the height of the Eiffel Tower, we can set up a proportion using the woman's height and her shadow length compared to the tower's shadow length.

Let's define 'x' as the height of the Eiffel Tower. The proportion would be:

(1.60 m / 0.50 m) = (x / 93.75 m)

Solving this proportion, we find that:

x = (1.60 m * 93.75 m) / 0.50 m = 300 m

Therefore, the height of the Eiffel Tower is 300 meters.

User Felix Guo
by
7.6k points