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.

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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

[tex]\frac{185}{145} = \frac{x}{212}[/tex]

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

[tex]185*212 = 145 x[/tex]

Dividing both sides by 145

[tex]x = \frac{185 * 212}{145} =270.5cm[/tex]

And that's the required height of the tree.

Answer:

Dividing both sides by 145

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

And that's the required height of the tree.

Step-by-step explanation: