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

Answer:

The tree is 6.36 meters tall.

Step-by-step 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:

$\frac{1.3}{1.8} =\frac{x}{7+1.8}$

$\frac{1.3}{1.8} =\frac{x}{8.8}$

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.