Question

PLEASE HELP{ WILL GIVE BRAINLIEST

Answer 1

Answer:

$\approx10.29\text{ feet}$

Step-by-step explanation:

Please refer to the attachment.

By AA Similarity, the two triangles are similar.

Therefore, corresponding parts of them are proportional.

Therefore, we can write the following proportion:

$\frac{7}{24}=\frac{3}{x+3}$

We will solve for x. Cross-multiply:

$7(x+3)=24(3)$

Distribute:

$7x+21=72$

Subtract 21 from both sides:

$7x=51$

Divide both sides by 7. So, the value of x is:

$x\approx7.2857$

However, that is only the value of x.

The shadow of the tree is (x+3).

Hence, we will need tot add 3 to our value. Therefore, the actual length of the shadow of the tree is approximately:

$\approx10.2857\approx10.29\text{ feet}$