hey gyues........
solve this
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From this figure:
BF = height of girl = 1.2 m,
AG = height of balloon from ground initially = 88.2 m,
AC = AG – GC
= 88.2 – 1.2
= 87 m
∠EBD = 30° and ∠ABC = 60°,
CD = ?
✔In Δ ABC;
Where p is perpendicular and b is base.
tan(60°)
√3=87/BC
BC= 87/√3
✔In ∆ ABC,
tan(30°)=87/bd
1/√3=87/bd
BD=87√3 m.
✾Now the distance covered by the balloon will be,
CD=BD - BC
CD = 87√3 - 87/√3
CD= 174/√3
✾Now for rationalizing , multiply and divide by √3.
CD= 174/√3 ×√3/√3
CD=174/3×√3
✔◆CD= 58√3 m.
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