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

Find the vale of x. write you answer in simplest radical form (no decimal answers-example-1
User Feugy
by
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1 Answer

3 votes

Answer:

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

User Sharmin
by
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