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Can someone please help me ASAP? Show work!!


I will give brainliest if it’s correct!

Can someone please help me ASAP Show work I will give brainliest if its correct class=

Respuesta :

Answer:

x = 6 inches

Step-by-step explanation:

This is a typical application of Pythagoras Theorem. In a right triangle the sides relate in the following way. [tex]A^{2} + B^{2} = C^{2}[/tex] where C denotes the length of the hypotenuse while A and B denote the lengths of the sides adjacent to the right triangle.

In this image you can note that the hypotenuse is the side with length 10ft. One of the other sides is also known to be 8ft.

We can therefor form the relation,

[tex]8^{2} + x^{2} = 10^{2} \implies \\x^{2} = 10^{2} -8^{2} \implies\\x^{2} = 100 - 64 = 36 \implies\\x = \sqrt{36} = 6[/tex]

Therefore the side x is 6 inches.

Answer:

distance = 6 ft

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

a² + b² = c²

a and b are the legs and c the hypotenuse

here a = x , b = 8 and c = 10 , then

x² + 8² = 10²

x² + 64 = 100 ( subtract 64 from both sides )

x² = 36 ( take square root of both sides )

[tex]\sqrt{x^2}[/tex] = [tex]\sqrt{36}[/tex] , that is

x = 6

The distance between the building and the base of the ladder is 6 ft

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