CBSE Class 10 Maths (Basic) 2023 · Paper 430/C/1 · Question 38

Some Applications of Trigonometry 4 marks Very hard

Totem poles are made from large trees. These poles are carved with symbols or figures and mostly found in western Canada and northwestern United States. In the given picture, two such poles of equal heights are standing

28

m apart. From a point somewhere between them in the same line, the angles of elevation of the top of the two poles are

6 0^{\circ}

and

3 0^{\circ}

respectively. Based on the above, answer the following questions.

Two equal poles 28 m apart with elevations 60 deg and 30 deg from point P between them

(i)Draw a neat labelled diagram.[1]
(ii)(a)Find the height of the poles.[2]
(ii)(b)OR If the distances of the top of the poles from the point of observation are taken as p and q, then find a relation between p and q.[2]
(iii)Find the location of the point of observation.[1]

Answer

Height of each pole

= 73 \approx 12.12

m; the point P is

7

m from the nearer pole and

21

m from the farther pole; and

q = 3 p

🔒 Step-by-step solution

From the board paper

CBSE Class 10 Maths (Basic) 2023 · Paper 430/C/1, Question 38 — all 38 questions with answers →

CBSE Class 10 Maths (Basic) 2023 · Paper 430/C/1 · Question 38

Answer

From the board paper

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