Question

8. (1) If x + y = 90° and sin x : sin y = 13 : 1 then
what is x : y equal to
(b) 1:2
(d) 3:2
(a) 1:1
(c)2:1

Answer 1

Answer:

$x + y = 90 - sin \: y$

$= sin(90 - x) = cosx$

$= \frac{sinx}{cosx} = \sqrt{3} = tanx = \sqrt{3}$

$x = 60 \: and \: y = 30$

X: Y = 2:1

2:1 is the correct answer