CBSE Class 10 Maths (Standard) 2020 · Paper 30/1/1 · Question 23

Introduction to Trigonometry 2 marks Medium

The rod

A C

of a TV disc antenna is fixed at right angles to the wall

A B

and a rod

C D

is supporting the disc as shown in Fig. 4. If

A C = 1.5

m long and

C D = 3

m, find

Fig. 4 — TV disc antenna with rods AC and CD on wall AB.

Answer

(i)

tan θ = \frac{1}{3}

; (ii)

sec θ + csc θ = 2 + \frac{2}{3} = \frac{2 3 + 6}{3} \approx 3.15

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