find the value of X
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Step by step explanation:
Let F is any point lying between CD..
And let distance betwewn EF is y m
Clearly,We will apply Tan
In ∆ EDF
Tan 60°°=EF/AF
√3=28.5/y
y=28.5/√3 (By rationalizing)
y=28.5x√3/√3x√3
y=28.5√3/3
y=9.5√3 (i)
We will apply tan again
In ∆ADF
Tan30°=DF/AF [AF=AE+EF]
1/√3=28.5/x+y
x+y=28.5√3
Putting value of y from eq(i)
x+ 9.5√3=28.5√3
x=28.5√3-9.5√3
x=19.5√3m
or 19.5 x 1.732=33.774m(Approx.)
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