Question

Find the value 'x', if:

Answer 1

In right ΔACB,

tan30° = `"BC"/"AC"`

⇒ `(1)/sqrt(3) = (10)/"AC"`
⇒ AC = `10sqrt(3)"cm"`
Now,
In right ΔACD,

sin x = `"AC"/"AD"`

⇒ sin x = `(10sqrt(3))/(20)`

⇒ sin x = `sqrt(3)/(2)`
⇒ sin x = sin60°
⇒ x = 60°.