Answer:
Q. 7.
k = √3/2.
Step-by-step explanation:
Q. 7.
Consider triangle ABC:
We have sin 30 = y / AC , then 1/2 = y / AC. ( as sin 30 = 1/2).
Therefore AC = 2y.
Consider triangle DCA:-
cos 30 = AC / DA
√3/ 2 = 2y / DA giving DA = 4y / √3
Now look at triangle EDA:
sin 30 = 1/2 = n / (4y / √3)
1/2 = √3n / 4y
4y = 2 √3 n
y = √3 n / 2
So as y = kn then k = √3/2 (answer).
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