A tree breaks due to a storm and its top touches the ground 8 m from the foot of the tree. The broken part makes an angle of 30° with the ground. If the breaking point is at height h, find h.
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A tree breaks due to a storm and its top touches the ground 8 m from the foot of the tree. The broken part makes an angle of 30° with the ground. If the breaking point is at height h, find h.

G1 Physics · Accepted Answer

The horizontal distance from the foot to the touching point is 8 m. At the touching point, tan30° = h/8. Therefore h=8/√3 m (=8√3/3 m).