Question

A man standing at a point p is watching the top of a tower, which makes an angle of elevation of 30 with the mans eye. The man walks some distance towards the tower to watch its top and the angle of elevation becomes 60. What is the distance between the base of the tower and the point p ?

Answer 1

Given

• Initial angle of elevation = 30°
• Final angle of elevation = 60°

For bigger right triangle

→ tan 30° = h/Ap

→ 1/√3 = h/Ap

→ Ap/√3 = h

For smaller right triangle

→ tan 60° = h/AB

→ √3 = h/AB

→ √3 AB = h

Since we have both side as h

→ Ap/√3 = √3 AB

→ Ap = 3AB

Hence, data is inadequate.

Answer 2

Step-by-step explanation:

In Δ ABD

tan 30° = H/AB

1/√3 = H/AB

AB/√3 = H.............(1)

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In Δ BCD

tan 60° = H/CB

√3 = H/CB

CB√3 = H ............(2)

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If RHS is equal of both the equations then LHS are also equal.

So,

√3 CB = AB/√3

√3*√3 CB = AB

(√3)² CB = AB

3 CB = AB

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So, the given data is not appropriate