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3 years ago

A ladder is leaning against a vertical wall. The distance from the top of

Mathematics

1 answer:

4vir4ik [10]3 years ago

3 0

Answer:

23.5(to the nearest tenth)

Step-by-step explanation:

pythagoras theorem states

c^2= a^2+ b^2

a= 23

b=5

c^2= 529+25

c^2= 554

c= square root of 554

c = 23.5 (approximately)

this took me a lot of time

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Part 1) $x=16\ units$

Part 2) $x=23\ units$

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Step-by-step explanation:

Part 1) we know that

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In this problem

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Part 2) we know that

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In this problem

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Part 3) we know that

If two triangles are similar

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In this problem

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substitute the values

$\frac{10}{4}=\frac{2x+10}{x+3}$

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Part 4) we know that

If two triangles are similar

then

the ratio of their corresponding sides are equal

In this problem

$\frac{4}{5}=\frac{5}{x}\\ \\4x=5*5\\ \\ x=25/4\\ \\ x= 6.25\ units$

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