Question

Find the vale of x. write you answer in simplest radical form (no decimal answers)

Answer 1

10

Explanation:

Assuming rectangle ABCD, (Because 3 angles are right angled so fourth angle will be 90 by default since sum of internal angles of a quad. is 360)

where,

AD = hypotenuse = 20 (given)

AC = BD = x (given)

Angle ADC = 30 (given)

Therefore,

sin of angle ADC = Perpendicular/hypotenuse = AC/AD

sin 30 = x/20

Since, sin 30 = 1/2, On substituting its value,

1/2 = x/20

x = 20/2

x = 10