Question

Look at the figure shown below.




What is the length of segment AB to the nearest tenth of a meter?

Answer 1

Well first of all, we know that AD is 7, don't we?

Answer 2

ab=ad+db

Answer 3

Yes we do!

Answer 4

And we can easily find angle B using the law of sines, right?

Answer 5

Yes! So I can make a proportion now.

Answer 6

Yes. Do that and then find angle DCB

Answer 7

So, DB is equal to 6.5.

Answer 8

Wait...would the answer be 13.5?

Answer 9

That's not what I got.

Answer 10

What did you get for angle B?

Answer 11

Okay. I'm confused.

Answer 12

I'm not sure. Are the triangle similar?