A tree casts a shadow of 9 feet. At the same time, a 6-foot tall man casts a shadow of 4 feet. How tall is the tree? a) 6 feet
b) 15 feet
c) 13 feet
d) 13.5 feet

[d] 13.5 feet

Step-by-step explanation:

First, you need to divide 6 (the height of the man) to find the height that the object has to be to make a shadow of one foot in length. In this case, 6÷4 is 1.5. Then, you want to add 6+6 together and 4+4 together because then, it would be that 12 feet would cast a shadow of 8 feet in length. This is when that 6÷4 comes into account. Finally you need to take 1.5 (the result of 6÷4) and add it to the total height so far. This will make the total height overall 13.5 feet.

I hope this helps!

6 foot man casts 4 foot shadow

shadow = (4/6) * height

shadow = (2/3) * height

for a 9 foot shadow

9 = (2/3) * height

tree height = 9 * (3/2) = 13.50 feet

Step-by-step explanation: