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The tallest building in the world is Burj Khalifa in Dubai, United Arab Emirates, at 2717 feet and 160 floors.The observation deck is 1450 feet above ground level. How far can a person standing on the observation deck see (with the aid of a telescope)? Use 3960 miles for the radius of Earth.
Let me see.
I know that the Pythygorean Theorem is needed.
Let s = how far a person can see.
Let d = height of observation deck.
Let r = radius of Earth.
Let m = number of feet in a mile.
I think the correct expression of the Pythagorean Theorem for this problem is the following:
s^2 + r^2 = [ r + (d/m)]^2
I will now replace the letters with the value for each.
I need to solve for s. (s)^2 + (3690)^2 = [3960 + (1450/5280)]^2
Is this the correct set up?
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I wonder if the required distance from the observation deck to the most distant seen point is in the air or on the earth surface.
If it is the straight distance (likely the case in this exercise), your equation is right.
Every living thing has no choice but to execute its pre-programmed instructions embedded in it (known as instincts).
But only a human may have the freedom and ability to oppose his natural robotic nature.
But, by opposing it, such a human becomes no more of this world.
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I wonder if the required distance from the observation deck to the most distant seen point is in the air or on the earth surface.
If it is the straight distance (likely the case in this exercise), your equation is right.
It is a straight distance.
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