Answered

Discover the answers to your questions at Westonci.ca, where experts share their knowledge and insights with you. Experience the ease of finding accurate answers to your questions from a knowledgeable community of professionals. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.

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?

Sagot :

facundo3141592

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

How far are the hobbits from the Dark Tower?

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:

https://brainly.com/question/2217700

We hope this information was helpful. Feel free to return anytime for more answers to your questions and concerns. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Discover more at Westonci.ca. Return for the latest expert answers and updates on various topics.