Question

A Tree is broken at the height of 4m from the ground .Its top of the ground at distance of 3m from the base of the tree . find the orginal heights of the tree​

Answer 1

Answer:

9 meters

Step-by-step Explanation

[ The broken tree forms a right triangle. Where standing tree is the height, distance between the base of the tree and the top of the tree is base and slanted broken tree is the hypotenuse of the right triangle. ]

Let the length of slanted tree = x

Original height = x + 4m

According to Pythagorean theorem:

⟹ ( Base)² + ( height)² = ( hypotenuse )²

⟹ (3m)² + (4m)² = x²

⟹ 9m² + 16m² = x²

⟹ 25m² = x²

⟹ √25m² = x

⟹ 5m = x

Original height of the tree

= x + 4m

= (5m + 4m)

= 9m

Answer 2

Answer:

9 metres

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