Question

 A tree breaks due to storm and the broken part bends so that the top of the tree touches the ground making an angle 30° with it. The distance between the foot of the tree to the point where the top touches the ground is 8 m. Find the height of the tree​

Answer 1

Answer:

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Step-by-step explanation:

Let AB be the original height of the tree.

Suppose it got bent at a point C and let the

part CB take the position CD, meeting the ground at D. Then,

→ AD = 8m,  ADC = 30° and CD = CB.

→ Let AC = x metres and CD = CB = y metres.

From right ∆DAC, we have

=>  

=>  

=> x =  

=> x =  

=> x =  

▶ Also, from right ∆DAC, we have

=>  

=>  

=> y =  

=> y =  

=> y =  

▶ Total height of tree = AC + BC.

✔✔ Hence, it is solved ✅✅.

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Answer 2

Step-by-step explanation:

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