Question

How do you solve this geometry problem

Answer 1

From the Figure We can Notice that :

Opposite Side - AB = 1

Adjacent Side - OB =
`√(3)`

We know that :

`Tan\theta = (Opposite\:Side)/(Adjacent\:Side)`

`\implies Tan\theta = (1)/(√(3))`

⇒ θ = 30°

We know that :

`Sin\theta = (Opposite Side)/(Hypotenuse)`

⇒
`Sin30 = (1)/(AO)`

⇒
`(1)/(2) = (1)/(AO)`

⇒ AO = 2