a. The value of x is 5√3
b. The value of y is 10
Trigonometric ratio is the ratio relating the sides of a right triangle.
Some of the trigonometric functions include sin, cos , tan e.t.c
Sinθ = opp/hyp
cosθ = adj/hyp
tanθ = opp/adj
To calculate x and y we use any of the function
sin30 = opp/hyp
sin30= 5/y
1/2 = 5/y
y = 5 × 2 = 10
Using Pythagorean theorem
x = √ 10² - 5²
x = √ 100 - 25
x = √75
x = 5√3