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Given
➝Distance between two buildings = 15x
➝Height of first Building = 12m
➝Angle of Elevation from top of the first Building to the top of second building is 30⁰
To Find
➝The height of the second building
Let
➝EC = x
➝Height of second building (BC) = x + 12
In △DEC
➝Tan30⁰ = EC/DE
➝1/√3 = x/15
➝x = 15/√3
➝x = 15/√3 × √3/√3
➝x = 15√3/3
➝x = 5√3
We get
➝Height of Second Building is (12+5√3)m
Answer
➝Height of Second Building is (12+5√3)m
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