CBSE Class 10 Maths (Standard) 2022 · Paper 30/2/1 · Question 13

Some Applications of Trigonometry 4 marks Medium

Case Study - 1 Kite Festival Kite festival is celebrated in many countries at different times of the year. In India, every year 14th January is celebrated as International Kite Day. On this day many people visit India and participate in the festival by flying various kinds of kites. The picture given (Fig. 5) shows three kites flying together. In Fig. 5, the angles of elevation of two kites (Points

A

and

B

) from the hands of a man (Point

C

) are found to be

3 0^{\circ}

and

6 0^{\circ}

respectively. Taking

A D = 50

m and

B E = 60

m, find:

Fig. 5 - geometry of the two kites and the observer

1The lengths of strings used (take them straight) for kites A and B as shown in the figure.[2]
2The distance $d$ between these two kites.[2]

Answer

Part (1):

C A = 100

m and

C B = 403 \approx 69.3

m. Part (2):

d \approx 121.7

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CBSE Class 10 Maths (Standard) 2022 · Paper 30/2/1 · Question 13

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