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Sid wants to find the height of a tree without having to climb it, but it is a cloudy day so he cannot use the shadows . he takes a mirror from his pocket and places it on thr ground 7.2m from the base of a tree. He backs up until he can see the top of the tree in the mirror, a distance of 1.2m from the mirror. If sids eyes are 1.5m above the ground what is the height of the tree?

Verified Answer :

syed514

the height of the tree would be 

1.5/1.2=x/7.2

x=9

Answer: Height of the tree is 9 m.

Step-by-step explanation:

Since we have given that

Distance at where he takes a mirror and placed it on the ground from the base of the tree = 7.2 m

Length of the tree from the mirror = 1.2 m

Distance at which he side eyes are above the ground = 1.5 m

Since there is direct variation between the actual height and the height in the mirror.

Let the height of the tree be h.

According to question,

\(\frac{1.5}{1.2}=\frac{x}{7.2}\\\\x=\frac{1.5\times 7.2}{1.2}\\\\x=9\ m\)

Hence, height of the tree is 9 m.

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