17
Q:
A) 42.2 mts | B) 33.45 mts |
C) 66.6 mts | D) 58.78 mts |
Answer: C) 66.6 mts
Explanation:
Explanation:
From above diagram
AC represents the hill and DE represents the tower
Given that AC = 100 m
angleXAD = angleADB = 30° (∵ AX || BD )
angleXAE = angleAEC = 60° (∵ AX || CE)
Let DE = h
Then, BC = DE = h, AB = (100-h) (∵ AC=100 and BC = h), BD = CE
tan 60°=AC/CE => √3 = 100/CE =>CE = 100/√3 ----- (1)
tan 30° = AB/BD => 1/√3 = 100−h/BD => BD = 100−h(√3)
∵ BD = CE and Substitute the value of CE from equation 1
100/√3 = 100−h(√3) => h = 66.66 mts
The height of the tower = 66.66 mts.