Question

Please help me out.....

Answer 1

a = 4
`√(3)`

Explanation:

Since the triangle is right use the tangent ratio to find a, that is

tan30° =
`(opposite)/(adjacent)` =
`(a)/(12)`

Multiply both sides by 12

12 × tan30° = a

12 ×
`(1)/(√(3) )` = a

Rationalise the denominator on the left side by multiplying the numerator/ denominator by
`√(3)`

12 ×
`(√(3) )/(3)` = a ( cancel the 12 and 3 )

a = 4
`√(3)`