A tree cast a 25 foot shadow. At the same time of day, a 6 foot man standing near the tree cast a 9 foot shadow. what is the approximate height of the tree to the nearest foot ?

Question

misty1212 · Answer

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misty1212 · Answer

use ratios maybe $\frac{6}{9}=\frac{x}{25}$

danjs · Answer

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danjs · Answer

similar triangles

danjs · Answer

the sides are proportional, similar because they both have Angle-Angle - Angle (3 same angles)

danjs · Answer

So 9 to 25 is the same as 6 to h

danjs · Answer

$$\frac{ 9 }{ 25 } = \frac{ 6 }{ h }$$

9h = 25*6 = 150

h=150/9 = about 16.67 ft

anonymous · Answer

How do i find the nearest foot ...
the options are 
a)16 feet
b)17 feet
c)18 feet
d)19 feet

danjs · Answer

17

anonymous · Answer

Oh okay thank you I get it

danjs · Answer

always draw pictures and label everything you are given, makes it much easier to think through

anonymous · Answer

Thank you for helping me, it greatly appreciated. :)

danjs · Answer

no problem, anytime