Question

On a sunny day, if a 36-inch yardstick casts a 21-inch shadow, how tall is a tree whose shadow is 168 in.?

A. 288 in.

B. 98 in.

C. 196 in.

D. 143 in.

Answer 1

Option A. 288 in.

Explanation:

Let the tree is h inch tall and shadow of the tree is 168 in.

At the same time a 36 inch yardstick casts a shadow of 21 inches.

Then we have to find the length "h" of the tree.

Both the triangles in the figure attached will be similar.

So by similar triangles property

`(h)/(36)=(168)/(21)=8`

h = 36×8 = 288 in.

Therefore Length of the tree is 288 in.

Option A. is the correct option.