From the foot and the top of a building of height 230 m a person observes the top of a tower with an...........

Quantitative Aptitude ( CCS) Height and Distance

From the foot and the top of a building of height 230 m, a person observes the top of a tower with angles of elevation of b and a respectively. What is the distance between the top of these buildings if tan a = 5/12 and tan b = 4/5

400 m

450 m

500 m

650 m

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Explanation:

Quantitative Aptitude : Height and Distance
Let ED be the building and AC be the tower.
Given that ED = 230 m, angle ADC = b, angle AEB = a
Also given that tan a = 5/12 and tan b = 4/5
Let AC = h
Required Distance = Distance between the top of these buildings = AE
From the right ABE,