Answer:
option(D)
x= 30 , y = 10√3
Explanation:
Given in the question, a right angle triangle whose
hypotenuse = 20√3
We will use pythagorus theorem and trigonometry identities to find the value of x and y
Formula to use
sinФ = base / hypotenuse
sin(30) = y / 20√3
y = sin(30) x 20√3
y = 10√3
hypotenuse² = base² + height²
(20√3)² = (10√3)² + x²
(20√3)² - (10√3)² = x²
x² = 900
x = √900
x = 30
so, the value of x = 30 and y = 10√3