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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. 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

Respuesta :

C. 7.3

12÷33= 4/11
4/11•20= 7.2727....
round off 7.2727... = 7.3

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

[tex]\frac{12}{33}=\frac{x}{20}[/tex]

[tex]\frac{12}{33} \times 20=x[/tex]

[tex]7.27=x[/tex]

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.

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