Question

Lin is playing hand ball and wants the ball

Answer 1

Lin should aim the ball at 7.8 feet away from point  B

From the question (see attachment), we have the following equivalent ratios:

$AB : BE = DC :CE$

This is so because triangles ABE and DCE are similar triangles.

Such that:

$BE + CE = 20$

$AB = 16$

$DC = 16 + 9 = 25$

So, we have:

$AB : BE = DC :CE$

$16 : BE = 25: CE$

Make CE the subject in $BE + CE = 20$

$CE=20 - BE$

Substitute 20 - BE for CE in $16 : BE = 25: CE$

$16 : BE = 25: 20 - BE$

Express as ratio

$\frac{16 }{ BE} = \frac{25}{ 20 - BE}$

Cross multiply

$16(20 - BE) = 25BE$

Open bracket

$320 - 16BE = 25BE$

Collect like terms

$25BE + 16BE = 320$

$41BE = 320$

Divide both sides by 41

$BE = 7.8$

Hence, she should aim at 7.8 feet away from point  B

Read more about similar triangles at:

brainly.com/question/14285697