Answer:
Please find the answer in the explanation
Step-by-step explanation:
1.) Beta = 180 - ( 90 + 36.9 )
Beta = 180 - 126.9
Beta = 53.1 degree
X and Y can be calculated by using trigonometry ratio ( SohCahToa)
Sin 36.9 = Y /65
Y = 65Sin36.9
Y = 39
Cos 36.9 = X/65
X = 65Cos 36.9
X = 51.97
X = 52 approximately
2.) Using trigonometry ratio again
Tan alpha = 35/60.6
Alpha = tan^-1(0. 577)
Alpha = 30 degree
To calculate beta,
Beta = 180 - ( 30 + 90)
Beta = 180 - 120
Beta = 60 degree
Sin 30 = 35 / R
R = 35/ sin30
R = 35/ 0.5
R = 70
3.) Cos Alpha = 45/47.9
Alpha = cos^-1 ( 0.93945)
Alpha = 20 degree
Beta = 180 - ( 20 + 90)
Beta = 180 - 110
Beta = 70 degree
Sin 20 = Y / 47.9
Y = 47.9sin20
Y = 16.1