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Sedaia [141]
3 years ago
5

Suppose you are standing such that a 36-foot tree is directly between you and the sun. If you are standing 50 feet away from the

tree and the tree casts a 60-foot shadow, how tall could you be and still be completely in the shadow of the tree?

Mathematics
1 answer:
musickatia [10]3 years ago
7 0

Answer:

6 feet

Step-by-step explanation:

Given,

The height of tree, say AB ( A is top, B is bottom ) = 36 foot,

Length of its shadow, BE = 60 feet,

Suppose CD represents me, ( where C is top, D is bottom )

We have, BD = 50 feet,

∵ DE = BE - BD = 60 - 50 = 10 feet,

Using trigonometric ratio,

\tan A = \frac{CD}{DE}=\frac{AB}{BE}

\implies \frac{CD}{10}=\frac{36}{60}

CD = \frac{36}{60}\times 10 =\frac{36}{6}=6

Hence, I would be 6 feet tall.

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