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Mathematics 15 Online
OpenStudy (rainbow_rocks03):

Plz help, thanks!

OpenStudy (rainbow_rocks03):

OpenStudy (daniyil_the_spy):

ok

OpenStudy (rainbow_rocks03):

okay

OpenStudy (daniyil_the_spy):

you have to make a ratio

OpenStudy (mathstudent55):

You can't use the Pythagorean theorem on the large ladder because you only know one side.

OpenStudy (sanoofy):

Nvm. I was thinking of something else, he'll regard to you. ^

OpenStudy (daniyil_the_spy):

OpenStudy (daniyil_the_spy):

boom I did it

OpenStudy (rainbow_rocks03):

thank you

OpenStudy (daniyil_the_spy):

its B

OpenStudy (mathstudent55):

The angles the ladders make with the wall are the same. The triangles formed by the two ladders are both right triangles. That makes two angles of one triangle congruent to two angles of the other triangle. By AA Similarity, the two triangles are similar. That means the lengths of corresponding sides are proportional.

OpenStudy (mathstudent55):

@Daniyil_the_spy is correct. Set up two ratios that are equal. That is what a proportion is. Then solve the proportion.

OpenStudy (mathstudent55):

\(\dfrac{30}{24} = \dfrac{x}{10} \) \(24x = 300\) \(x = \dfrac{300}{24} = 12.5\)

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