CBSE Class 10 Maths (Standard) 2025 · Paper 30/6/1 · Question 38

Some Applications of Trigonometry 4 marks Medium

The Statue of Unity situated in Gujarat is the world's largest Statue which stands over a

58

m high base. As part of the project, a student constructed an inclinometer and wishes to find the height of Statue of Unity using it. He noted following observations from two places. Situation I: The angle of elevation of the top of Statue from Place

A

which is

803

m away from the base of the Statue is found to be

6 0^{\circ}

. Situation II: The angle of elevation of the top of Statue from a Place

B

which is

40

m above the ground is found to be

3 0^{\circ}

and entire height of the Statue including the base is found to be

240

m. Based on given information, answer the following questions.

(i)Represent the Situation I with the help of a diagram.[1]
(ii)Represent the Situation II with the help of a diagram.[1]
(iii)(a)Calculate the height of Statue excluding the base and also find the height including the base with the help of Situation I.[2]
(iii)(b)OR — Find the horizontal distance of point B (Situation II) from the Statue and the value of $tan α$ , where $α$ is the angle of elevation of top of base of the Statue from point B.[2]

Answer

(i) The diagram is the right triangle

A C Q

in the first figure; (ii) The diagram is the right triangle

QR B

in the second figure; (iii)(a) The statue is

182

m high excluding the base and

240

m including it; (iii)(b)

B

2003

m from the statue and

tan α = \frac{3 3}{100}

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CBSE Class 10 Maths (Standard) 2025 · Paper 30/6/1 · Question 38

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