CBSE Class 10 Maths (Standard) 2025 · Paper 30/S/1 · Question 36

Some Applications of Trigonometry 4 marks Medium

The International Kite Festival takes place every year on 14th January. The main attractions of the festival include national and international Kite Flyers' Parade, kite flying, traditional stalls etc. On this day, few kite flyers, had assembled at a point 'O' on the ground. The position of 3 kites A, B, C was such that A and B were at the same vertical height of 40 m from the ground level. The angles of elevation of A, B and C from O were

6 0^{\circ}

4 5^{\circ}

and

3 0^{\circ}

respectively. A vertical tower, SD has been erected at point S and a camera is set at the top of the tower for photography.

(i)What is the length of the string of the kite at A?[1]
(ii)If the length of the string of kite at C is 40 m, then find the height of that kite C from the ground.[1]
(iii)(a)What is the horizontal distance between the kites at A and B?[2]
(iii)(b) ORIf the angle of depression of the kite at A is $3 0^{\circ}$ from the camera at D and the distance between A and D is 60 m, then find the height of the tower.[2]

Answer

(i) The string at A is

O A = \frac{80 3}{3}

\approx 46.19

m; (ii) The height of kite C is

20

m; (iii)(a) The horizontal distance between A and B is

40 + \frac{40 3}{3} = \frac{40 ( 3 + 3 )}{3}

\approx 63.09

m; OR (iii)(b) The height of the tower is

70

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CBSE Class 10 Maths (Standard) 2025 · Paper 30/S/1 · Question 36

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