Question

7 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

Step-by-step explanation:

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Answer 2

Answer:

13.85 m

Step-by-step explanation:

Let X be the height at which the tree is broken,

Let Y be the length of the bend by the tree which touches the ground.

X + Y = Height of the tree.

tan 30° = 1 /√3 = x / 8 ; x = 8 /√3 .

cos 30° = √3 / 2 = 8 / y ; y = 16 /√3 .

x + y = (16 /√3 + 8 /√3) m

        = 24 /√3 m

        = 8√3 m

        = 13.85 m        

∴ Height of the tree is 13.85 m.