Q. 134.2( 15 Votes )

On a straight lin

Answer :



Let AB be the tower and B be the foot,


Given, C and D are at distances of 4 m and 16 m from foot,


BC = 4 m


BD = 16 m


Also, angles of elevation from C and D to top A are complementary.


ACB + ADB = 90°


Let ACB = θ


θ + ADB = 90°


ADB = 90° - θ


Now, in ∆ABC




[1]


In ∆ABD




[From 1]


AB2= 64


AB = 8 m


Height of tower is 8 meter.

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