Mukesh and Ishita are standing in a field. They saw a kite flying in the sky which was making an angle of 60° and 45°. If the distance between Mukesh and Ishita is 200 then find the possible height at which the kite is flying.?

Question

Mukesh and Ishita are standing in a field. They saw a kite flying in the sky which was making an angle of 60° and 45°. If the distance between Mukesh and Ishita is 200 then find the possible height at which the kite is flying.?

200√6/(√2 – 1)
200√3/(√3 + 1)
200√3/(√3 – 1)
Both option 2 and 3

LohaHridoy

4 views

2025-01-04 04:42

1 Answers

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AhmedNazir · Accepted Answer · 2022-09-04T04:29:57+06:00

Option 4 : Both option 2 and 3

Let the kite is flying at the height h.

There are two possible cases.

Case 1: The kite is somewhere between them.

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tan45° = h/x

⇒ 1 = h/x

⇒ h = x

tan60° = h/200 − x

⇒ √3 = h/200 − x

h = x

⇒ √3 = h/200 − h

⇒ h = 200√3/(√3 + 1)

Case 2: The kite is somewhere away from them.

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tan60° = h/x

⇒ √3 = h/x

⇒ x = h/√3

tan45° = h/(200 + x)

⇒ h = 200 + x

⇒ h = 200 + h/√3

∴ h = 200√3/(√3 – 1)