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A builder places a 2.9m ladder on horizontal ground, resting against a vertical wall. to be safe to use, the base of this ladder must be 1.3m away from the wall. how far up the wall does the ladder reach? GIve ur answer to 1 decimal place

Sagot :

The answer is in the photo

The length up the wall does the ladder reach is 2.59 meter

What is Pythagorean theorem?

In mathematics, the Pythagorean theorem, or Pythagoras' theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle.

What is Right triangle?

A right triangle or right-angled triangle, or more formally an orthogonal triangle, is a triangle in which one angle is a right angle or two sides are perpendicular.

Given,

Length of the ladder = 2.9 meter

Distance from base to wall = 1.3 meter

Draw the figure using the given data

Apply Pythagorean theorem

[tex]AB^{2}+BC^{2}= AC^{2}\\ AB^{2}=AC^{2}-AC^{2} \\ AB^{2}=2.9^{2}-1.3^{2}\\ AB^{2}=6.72\\ AB=\sqrt{6.72}[/tex]

AB=2.59 meter

Hence, the length up the wall does the ladder reach is 2.59 meter

Learn more about Pythagorean theorem and Right triangle here

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