Question

SECTION -II
CASE STUDY based questions are compulsory. Attempt any four sub-
parts of each case.
9. CASE STUDY BASED - 1
SKY SAILS
"Skysails' is that genre of engineering sciences that uses extensive utilization of wind energy to
move a vessel in the sea water. The 'Skysails' 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 masť
that enables the kite to be raised properly and effectively.
Sky Sails
Rope
C​

Answer 1

Given : 'Skysails' technology allows the towing kite to gain a height of anything between 100 m to 300 m

Sin (θ)  = Cos(3θ - 30°)

To Find : Value of θ

Find rope length when vertical height =  200m

Solution:

Sin (θ)  = Cos(3θ - 30°)

=> Cos(90° - θ)  = Cos(3θ - 30°)

=> 90°  - θ = 3θ - 30°

=> θ = 30°

Sin(θ) = vertical height  / Rope Length

=> Sin  30°  = 200/ Rope Length

=> 1/2 = 200/ Rope Length

=> Rope length = 400 m

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