Given triangle abc is a right triangle and angle b=30 degrees and side cb=18, solve for angle a and sides x and y

X and Y is 36 and 31.17 and the angle A = 60°

Step-by-step explanation:

In Right Triangle ABC ,

B = 30°

side CB = 18

To Find -

Angle A = ?

other two sides = ?

Solution -

in a right triangle one angle is always 90 °

means C= 90°

while angular sum of all triangle is 180.

Angle C = Angle A +Angle B

90° = 30° + Angle A

Angle A = 60°

Now finding the sides via trigonometry.

cos 60° =  18 / x

1/2 = 18/x

x = 36

sin 60° = y/x

= y / 36

y = 31.17

we got the value of x and y 36 and 31.17 respectively.

and the angle A = 60°

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