the angle of elevation of the top of a tower from foot of the building is 30degree the ange of elevation of the top of the building from the foot of the tower is 60 degree. what is the Ratio of height of tower building
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Hey Dear ... ✌️
___________________________
=) Suppose,
AB = Height of tower (h1)
CD = Height of building (h2)
BC = distance between tower and building (x)
_______________________
In ∆ ABC,
Tan 30 = AB/ BC
1/√3 = h1/x
x = √3 (h1) .....(1)
______________________
In ∆ BCD ,
Tan 60 = CD/BC
√3 = h2 / x
x = h2/√3. ......(2)
_______________________
COMPARE EQ. (1) AND EQ. (2),
√3h1 = h2/√3
3h1 = h2
h1/h2 = 1/3
So,
Ratio of height of tower and Height of building is 1:3.
Hope , It Helps ... ❤️
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