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trapecia [35]
3 years ago
11

A tree with a height of 12 yards casts a shadow that is 33 yards long at a certain time of day. At the same time, another tree n

earby casts a shadow that is 20 yards long. How tall is the second tree? A. 8.0 yards B. 7.7 yards C. 7.3 yards D. 6.3 yards E. 6.1 yards
Mathematics
2 answers:
umka2103 [35]3 years ago
7 0

Answer:

7.3 yards

Step-by-step explanation:

Given :A tree with a height of 12 yards casts a shadow that is 33 yards long at a certain time of day.

At the same time, another tree nearby casts a shadow that is 20 yards long.

To Find:  How tall is the second tree?

Solution:

Let the length of another tree be x

Length of first tree = 12 yards

Length of shadow of first tree = 33 yards

Length of shadow of second tree = 20 yards

There is a direct variation between length of tree and length of Shadow .

A.T.Q

\frac{12}{33}=\frac{x}{20}

\frac{12}{33} \times 20=x

7.27=x

So, the height of the seconds tree is 7.27 ≈ 7.3 yards

Hence the height of the second tree is 7.3 yards

So, Option C is correct.

AVprozaik [17]3 years ago
5 0
C. 7.3

12÷33= 4/11
4/11•20= 7.2727....
round off 7.2727... = 7.3
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The area of the shaded region is that of the semicircle minus the area of the triangle..


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We conclude the area area of the shaded part is

  8 PI - 8 sqrt(3)   = 8 (Pi - sqrt(3))

Note that sqrt(3) is approx  1.7 so (PI - sqrt(3)) is a positive number, as it better well be!


Thank you,

MrB

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