A vertical post 15 ft high is broken at a certain height and its upper part not completely separated...........

Quantitative Aptitude ( CCS) Height and Distance

A vertical post 15 ft high is broken at a certain height and its upper part, not completely separated, meets the ground at an angle of 30°. Find the height at which the post is broken.

10 ft

5 ft

15√3(2 - √3) ft

5√3 ft

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Explanation:

Total height of post = AB + AC = 15 ft
Let, the post is broken at point A, ∴ AB = h
And, AC = 15 – AB = (15 – h) ft
In ΔABC,
sin 30° = AB/AC
1/2 = h /15 - h
15 – h = 2h
3h = 15
h = 5 ft