You are standing 400 feet from the base of the Space Needle in Seattle, Washington. Using a laser range finder, you measure the distance to the top of the Space Needle to be 725 feet. Find the height of the Space Needle to the nearest foot.
I got 629 ft.
Hmmm. I get
√(725^2 - 400^2) = 605
Thank you!!!!
I just realized I wrote down 745^2!!!!!
To find the height of the Space Needle, we can use the Pythagorean theorem. The laser range finder measures the distance from your position to the top of the Space Needle, which forms the hypotenuse of a right triangle. The base of the triangle is the distance from your position to the base of the Space Needle.
Let's denote the height of the Space Needle as 'h' and the distance from your position to the base as 'b'.
Using the Pythagorean theorem, we have:
h^2 = b^2 + 400^2
Substituting the values we have:
h^2 = 400^2 + 725^2
h^2 = 160000 + 525625
h^2 = 685625
Taking the square root of both sides, we get:
h ≈ √685625
h ≈ 828.664
Rounding to the nearest foot, we have:
h ≈ 829 feet
Therefore, the height of the Space Needle is approximately 829 feet, not 629 feet.