Question

Can some one solve these?!

Answer 1

All you need to solve these is a knowledge of the 3 main trigonometrical ratios.
I a right angled triangle where A is a non right angle:-

sin A = opposite / hypotenuse                         (hypotenuse is the sloping side)

cos A = adjacent / hyptenuse       ( the adjacent side is the one the angle 'sits' on)

tan A = opposite / adjacent   (  the opposite side is the one opposite the angle)

So to find the length of segment x in the first problem use

sin 61 = x / 50
 then
x  = 50*sin61  =  43.73 

and to find the length of y:-

cos 61 = y / 50
y = 60 cos 61 =  24.24

The other questions can be solved in a similar way.