A vertical pole and a vertical tower are standing on the same level ground Height of the pole is 10 ...........

Quantitative Aptitude ( CCS) Geometry

A vertical pole and a vertical tower are standing on the same level ground. Height of the pole is 10 metres. From the top of the pole the angle of depression of the foot of the tower are 60o and 30o respectively. The height of the tower is

10 m

20 m

30 m

40 m

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Explanation:

In ?ECB
tan 60o = BE/CE à √3 = BE/CE
BE = √3 CE …………… (i)
In ?ACD,
tan 30 = CD/DA
? 1/√3 = 10/DA
DA = 10√3
But CE = DA = 10√3
(i) à BE = √3 CE
= √3 ×10√3 = 30m
Height of the tower = AE + BE = 10 + 30 = 40m