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inn [45]
3 years ago
14

At a certain time of the day, a tree 15 m tall casts a shadow of 12 m, while a second tree casts a shadow of 20 m. How tall is t

he second tree?
Mathematics
1 answer:
Anna35 [415]3 years ago
7 0
We can write a proportion: 15 m is to 12 m as some other height h is to 20 m

So we get
\frac{15}{12}=\frac{h}{20}
\rightarrow 15*20=12h
\rightarrow 12h=300
\rightarrow h=25

So the second tree is 25 m tall.
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In the x direction we consider the m=2 subintervals [0, 1] and [1, 2] (each with length 1), while in the y direction we consider the n=2 subintervals [0, 2] and [2, 4] (with length 2). Then the lower right corners of the cells in the partition of R are (1, 0), (2, 0), (1, 2), (2, 2).

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###

More generally, the lower-right-corner Riemann sum over m=\mu and n=\nu subintervals would be

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