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kipiarov [429]
3 years ago
7

You're standing 80 feet from the base of a building . You estimate that angle of elevation from your feet to the top is about 70

°. About how tall is the building?
Mathematics
1 answer:
pogonyaev3 years ago
6 0
Probably about (at least) 120 feet.
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Answer:

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Step-by-step explanation:

One could run this on a computer and verify the best fit through brute force. The more elegant way is, as usual, to think: What are special values of x for an exponential function? Zero, for starters - anything to the power of zero is 1. The function value for x=0 in the table is 10. Which choices A through D are close to 10 for x=0? Well, (C) and (D), the rest is too far. Next, what is the function value for the next easy one, x=1? The table says 30. Which of (C) and (D) is close to 30 for x = 1. It turns out we can safely exclude (C) because 10.84*1.77 is about 19 and that's way too far from 30. Let's check (D): 8.46*3.51=29.7 - that's quite close. Since there is no other candidate left, I bet my money on (D). Feel free to verify closeness for the other values of x if you are unconvinced yet.  

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The first and last choices are the only ones whose angles total 180 degrees, so they're the only possible triangles.
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