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

26 ft

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 (40)/(60)=(6)/(x)`

`\\ \sf\longmapsto (4)/(6)=(6)/(x)`

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

`\\ \sf\longmapsto 4x=36`

`\\ \sf\longmapsto x=(36)/(4)`

`\\ \sf\longmapsto x=9`