Question

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?

Answer 1

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.