2.2 Trigonometry and Vector Components

Please find the answer in the explanation

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

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