Question

A person is 185 cm tall and casts a shadow 145 cm long. A nearby tree casts a shadow which is 212 cm long. Find the height of the tree in cm.

Answer 1

Dividing both sides by 145

x = \frac{185 * 212}{145} =270.5cm

And that's the required height of the tree.

Explanation:

Answer 2

It is given in the question that

A person is 185 cm tall and casts a shadow 145 cm long. A nearby tree casts a shadow which is 212 cm long.

And we have to find the height of the tree. Let it be x cm .

Now we use the ratio, which is

`(185)/(145) = (x)/(212)`

Now we need to get rid of the denominators, and for that we do cross multiplication. That is

`185*212 = 145 x`

Dividing both sides by 145

`x = (185 * 212)/(145) =270.5cm`

And that's the required height of the tree.