I WILL GIVE BRAINLIEST ONLY IF YOUR CORRECT

After a huge rainstorm Nancy notices a large puddle in her backyard. She wants to find out the length of the puddle so she sets up similar triangles as shown in the drawing. What is the length of her puddle (round to the nearest tenth)?

A)3.3 feet

B) 6.0 feet

C) 7.5 feet

D) 13 .2 feet

I WILL GIVE BRAINLIEST ONLY IF YOUR CORRECTAfter a huge rainstorm Nancy notices a large puddle in her backyard She wants to find out the length of the puddle s class=

Respuesta :

Answer: C) 7.5 feet

Step-by-step explanation:

1. You know that the triangles are similar. Therefore, to calculte the lenght of her puddle (which is identified in the figure as l ), you can set up the following proportions:

[tex]\frac{l}{5ft}=\frac{12ft}{8ft}[/tex]

2. Now, you must solve for l. Then you obtain that the result is:

[tex]l=\frac{(5ft)(12ft)}{8ft}\\l=7.5ft[/tex]

3. The answer is the option C.