The vertical height of a tree is 18 m.The uppermost part of the tree is broken by wind 5 m above the ground.At what distance does the uppermost part of the tree touch the ground from the foot of the tree?
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Let A’CB be the tree before it broken at the point C and let the top A touches the ground at A after it broke. Then ΔABC is a right angled triangle, at B.
AB = 12 m and BC = 5 m
Using Pythagoras theorem,
In ΔABC
(AC)² = (AB)² + (BC)²
(AC)² = (12)² + (5)²
(AC)² = 144 + 25
(AC)² = √169
(AC)² = 169
AC=13 m
Hence, the total height of the tree(A′B)
=AC+CB=13+5=18m.
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