Question

A 40-foot tree casts a shadow 60 feet long. How long would the shadow of a 6-foot man be at that time?​

Answer 1

Answer:

26 ft

Step-by-step explanation:

I'm guessing this is how it's done

60-40= 20

there for at this time any shadow would be 20x it's original height/length

so 6+20=26 ft

lmk if I'm correct

Answer 2

Taking ratios

Let the shadow length=x ft

$\\ \sf\longmapsto 40:60=6:x$

$\\ \sf\longmapsto \dfrac{40}{60}=\dfrac{6}{x}$

$\\ \sf\longmapsto \dfrac{4}{6}=\dfrac{6}{x}$

$\\ \sf\longmapsto 4x=6(6)$

$\\ \sf\longmapsto 4x=36$

$\\ \sf\longmapsto x=\dfrac{36}{4}$

$\\ \sf\longmapsto x=9$