Question

PLEASE ANSWER AS QUICK AS YOU CAN I NEED HELP -

A tree that is 35 feet tall casts a shadow 42 feet long at 4:00PM. A man standing near the tree at that same time casts a shadow that is 7.5 feet long. How tall is the man?

Answer 1

The man's height is 6.25ft

Explanation:

Given

Represent the height of the tree with H, the height of the tree's shadow with S

Represent the height of the man with h, the height of the man's shadow with s

So, we have:

H = 35ft

S = 42ft

s = 7.5ft

Required

Solve for h

To answer this, we make use of the following ratio

h/s = H/S

Substitute values for S, H and s

h/7.5 = 35/42

Multiply both sides by 7.5

h = 7.5 * 35/42

h = 262.5/42

h = 6.25