Math, asked by RiyaNagbanshi1253, 4 days ago

A boy who is 1.75m tall, is flying a kite, when the length of the string of kite is 150m, it makes an angle of 30° with the horizon. What is the height of the kite from the ground?​

Answers

Answered by Anonymous
75

Answer:

  • The height of Kite from land is 76.75m.

Step-by-step Explanation:

Given,

  • Height of Boy (AP) = 1.75m
  • Length of string (AC) = 150m
  • Angle of horizon = 30°

Here,

  • We find A Right angled ∆ ABC.
  • And, Angle given (θ) = 30°
  • P (Opposite to θ) = BC

H (Hypotenuse) = AC

  • H = 150m

As we know that,

  • sin θ = P/H
  • ➺ sin 30° = BC/AC
  • ➺ 1/2 = BC/150m
  • ➺ 2BC = 150m
  • BC = 75m

In adjoining figure,

  • As QC is straight line.

We can say that,

  • ➺ ∠ABC + ∠ABQ = 180° •••[LP]
  • ➺ 90° + ∠ABQ = 180°
  • ∠ABQ = 90° •••[1]

As AP and BQ is perpendicular to land.

So,

We can say that,

  • ∠APQ = 90° and ∠BQP = 90° •••[2]

As ABQP is a Quadrilateral.

So,

  • ➺ ∠ABQ + ∠BQP + ∠APQ + ∠PAB = 360° •••[ASPO Quadrilateral]
  • ➺ 90° + 90° + 90° + ∠PAB = 360°
  • ➺ 270° + ∠PAB = 360°
  • ∠PAB = 90° •••[3]

By [1], [2] and [3],

We can say that,

  • ABQP is a Rectangle.

And,

  • AP = BQ •••[Opposite side of Rectangle are equal]
  • BQ = 1.75m

  • QC = BQ + BC •••[As given in figure]
  • ➺ QC = 1.75m + 75m
  • QC = 76.75m

As QC is the height of Kite from land.

Therefore,

  • The height of Kite from land is 76.75m.

Attachments:
Answered by tagorbisen
1

Step-by-step explanation:

Answer: Height of the kite is 75√3 m.

Step-by-step explanation:

Since we have given that

Length of string of kite = 150 m

Angle of elevation formed by a kite with the horizontal = 60°

We need to find the height of kite.

Consider Δ ABC, as shown in the figure:

Attachments:
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