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Salsk061 [2.6K]
3 years ago
10

A forester wants to estimate the height of a tree. He is 6 ft tall and cast a shadow of 4 ft. If the shadow of the tree is 60 ft

, how tall is the tree?
Mathematics
2 answers:
Sliva [168]3 years ago
7 0

Answer:

90 ft

Step-by-step explanation:

Given,

The 6 ft tall man casts 4 ft long shadow,

So, the ratio of the height of the man and its shadow = \frac{6}{4} = \frac{3}{2}

Now, suppose the height of the tree that casts the shadow of 60 ft long is h ft,

So, the ratio of the height of tree and its shadow = \frac{h}{60}

At the same time,

\frac{h}{60}=\frac{3}{2}

h=60\times\frac{3}{2}=30\times 3=90

Hence, the height of the tree is 90 ft

umka21 [38]3 years ago
6 0
Since 4 is only 2/3 of 6, then you need to divide 60 into 3rds.
1/3 of 60=20
60+20=80!
Hopefully this is correct, but i will go check real quick!
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