Question

Tonya is 1.3 meters tall. She stands 7 meters in front of a tree and casts a shadow 1.8 meters long. How tall is the tree?​

Answer 1

The tree is 6.36 meters tall.

Explanation:

Given:

Tonya is 1.3 meters tall.

She stands 7 meters in front of a tree and casts a shadow 1.8 meters long.

Now, to find the height of the tree.

Let the height of tree be
`x`.

As, Tonya is 1.3 metres tall and casts 1.8 metres shadow.

Thus, height of 1.3 meters is equivalent to 1.8 metres.

So,
`x` is equivalent to 7+1.8 meters.

As, she stands 7 meters in front of a tree and casts a shadow 1.8 meters long.

Now, we solve by using cross multiplication method:

`(1.3)/(1.8) =(x)/(7+1.8)`

`(1.3)/(1.8) =(x)/(8.8)`

By cross multiplying we get:

`11.44=1.8x`

Dividing both sides by 1.8 we get:

`6.36=x`

`x=6.36`

Therefore, the tree is 6.36 meters tall.