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Alex73 [517]
2 years ago
5

Sauron is looking down at the hobbits from The Dark Tower at a 28º angle. His tower stands 1,400 meters tall. How far are Frodo

and Sam from The Dark Tower?
Mathematics
1 answer:
VladimirAG [237]2 years ago
8 0

By using what we know about right triangles, we will see that the hobbits are at 744.39 meters from the Dark Tower.

<h3>How far are the hobbits from the Dark Tower?</h3>

We can think of this situation as in a right triangle, where the catheti are the height of the tower and the distance between the hobbits and the Dark Tower.

Then we can use the relation:

Tan(θ) = (opposite cathetus)/(adjacent cathetus)

Where θ = 28°

The adjacent cathetus to this angle is the height of the tower, then:

Adjacent cathetus = 1,400 m

And the opposite cathetus is the distance that we want to find, let's call it D.

Tan(28°) = D/1,400m

Solving for D we get:

Tan(28°)*1,400m = D = 744.39m

The hobbits are at 744.39 meters from the Dark Tower.

If you want to learn more about right triangles, you can read:

brainly.com/question/2217700

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