The length of the ladder is 5.3 meter if the base of a ladder is placed 2.8 m away from a tree that is 4.5 m tall. The end of the ladder touches the top of the tree.
It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.
As per the picture attached, the triangle is a right angle triangle:
Let's assume the length of the ladder is x meter
From the Pythagoras theorem:
x = √(2.8²+4.5²)
x = √(7.84+20.25)
x = 5.3 m
Thus, the length of the ladder is 5.3 meter if the base of a ladder is placed 2.8 m away from a tree that is 4.5 m tall. The end of the ladder touches the top of the tree.
Learn more about the right angle triangle here:
brainly.com/question/3770177
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