Question

Due to heavy storm a coconut tree is broken at a height of 5m above the ground and its top touches the ground at a distance of 12m from the base of tree. Dinesh and Ravi were watching it 1. Dinesh asked to Ravi "can you tell me what is the actual height of this tree"? 2. Which mathematical formula is to be adopted by Ravi to find the length of tree 3. If broken part is 13m then at what distance from the foot it will touch the ground​

Answer 1

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=5m

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=13m

Hence, the total height of the tree=AC+CB=13+5=18m.