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