NCERT Solution Class X Mathematics Some Applications of Trigonometry Question 2 (Ex 9.1)

Question 2:

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:

Let AC was the original tree. Due to storm, it was broken into two parts. The broken part A’B making 30° with the ground.

Height of tree = A’B + BC

Hence, the height of the tree is 8√3 m.

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