Question

Please help me out.....

Answer 1

Answer:

a = 4$\sqrt{3}$

Step-by-step explanation:

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

tan30° = $\frac{opposite}{adjacent}$ = $\frac{a}{12}$

Multiply both sides by 12

12 × tan30° = a

12 × $\frac{1}{\sqrt{3} }$ = a

Rationalise the denominator on the left side by multiplying the numerator/ denominator by $\sqrt{3}$

12 × $\frac{\sqrt{3} }{3}$ = a ( cancel the 12 and 3 )

a = 4$\sqrt{3}$