This question is

inspired from Question 24 CBSE Class 10 Sample Paper for 2020 Boards

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'Skysails' is that genre of engineering science that uses extensive utilization of wind energy to move a vessel in the sea water. The sky sails technology allows the towing kite to gain a height of anything between 100 m to 300 m. The sailing kite is made in such a way that it can be raised to its proper elevation and then brought back with the help of a telescopic mast that enables the kite to be raised properly and effectively. Based on the following figure related to sky sailing answer the questions:
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Question 1
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## (i) In the given figure, if tan θ = cot (30° + θ), where θ and 30° + θ are acute angles, then the value of θ is:

## (a) 45° (b) 30°

## (c) 60° (d) None of these

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Question 2
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## The value of tan 30°. cot 60° is:

## (A) √3 (b) 1/√3

## (C) 1 (D) 1/3

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Question 3
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## What should be the length of the rope of the kite sail in order to pull the ship at the angle θ and be at a vertical height of 200 m?

## (a) 400 m (b) 300 m

## (c) 100 m (d) 200 m

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Question 4
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## If cos A = 1/2 , then the value of 9 cot2 A − 1 is :

## (A) 1 (B) 3

## (C) 2 (D) 4

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Question 5
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## In the given figure, the value of (sin C + cos A) is:

## (a) 1 (b) 2

## (c) 3 (d) 4