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MAVERICK [17]
3 years ago
12

George is 1.94 meters tall and wants to find the height of a tree in his yard. He started at the base of the tree and walked 10.

20 meters along the shadow of the tree until his head was in a position where the tip of his shadow exactly overlaps the end fo the tree top's shadow. He is now 5.1 meters from the end of the shadows. How tall is the tree?

Mathematics
1 answer:
Free_Kalibri [48]3 years ago
7 0
Draw a diagram to illustrate problem as shown below.

Let h = the height of the tree.

Because ΔABC ~ ΔADE, therefore
DE/BC = AD/AB

That is,
h/1.94 = (5.1 + 10.2)/5.1 = 3
h = 1.94*3 = 5.82 m

Answer: 5.82 m

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vesna_86 [32]
3.625 as a fraction would be 3 5/8 or 29/8.
You would get that by converting 3.625 to 3 625/1000. You do that because there is a 3 before the decimal- (that is a whole #) and three digits after the decimal (that means it goes into the thousandths place, so the denominator is 1000), Then you take the numbers after the decimal and place it over the 1000. Then you would simply the 3 625/1000 by 125. and get 3 5/8 or as a mixed # 29/8. (Multiply the 8 and 3 to get 24 and add the numerator (5) to get 29. The denominator stays the same.

Hope this helps!
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Last month, Ed ate 9 apples, 5 bananas, 4 peaches, and 7 oranges. Find the ratio of the bananas to the total number of fruit, th
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Convert the following repeating decimal to a fraction in simplest form .31 with the 1 repeating
bekas [8.4K]

Answer:

14/45

Step-by-step explanation:

So we have the fraction:

0.3\bar1=0.31111...

We can do this algebraically. Follow to following steps:

Let's let this number equal to n. Thus:

0.31111...=n

Since there is only 1 digit repeating, let's multiply everything by 10. So:

3.1111...=10n

Now, subtract n from both sides:

3.1111-n=10n-n

On the left, substitute the number for n. On the right, combine like terms:

3.1111...-0.31111...=9n

All of the 1s will cancel. So:

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Use a calculator to check:

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