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B. A tree is broken at a height of 5m from the ground and its top touches the ground at a distance of12 m from the base of the tree. Find the original height of the tree. |
| Answer» LET A'CB represents 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, right angled at B.AB=12m and BC=5mUsing Pythagoras THEOREM, In ΔABC(AC) 2 +(AB) 2 +(BC) 2 ⇒(AC) 2 =(12) 2 +(5) 2 ⇒(AC) 2 =144+25⇒(AC) 2 =169⇒AC=13mHence, the total height of the tree=AC+CB=13+5=18m.solution | |