Answers

2016-03-06T11:15:27+05:30
(*base = b, h = height.) total height of tower = 10 +x
Applying trigonometry in the triangle with angle 45,
tan 45 = x/b (as both bases will be same)
tan 45 = 1, 1 = x/b 
x = b (cross multiplication)
now in the triangle with angle 60, 
tan 60 = total h/b (total h = x +10)
root 3 = 10+x/b
b(root3) = 10 + b
b (root3 - 1) = 10
b = 10/root3 - 1 
root 3 = 1.73
10/1.73-1 = b
10/0.73 = b
b = 13.69 (approx)
total h = x + 10
x = b
total h = b+10 = 13.69 + 10 = 23.69
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