Question

Help me solve this please!!

Answer 1

Answer:

The answer is

$a = 9 \sqrt{3} \: and \: b = 9$

Answer 2

Answer:

B

Step-by-step explanation:

Using the sine/ cosine ratios in the right triangle and the exact values

sin60° = $\frac{\sqrt{3} }{2}$ , cos60° = $\frac{1}{2}$

sin60° = $\frac{opposite}{hypotenuse}$ = $\frac{a}{18}$ ( multiply both sides by 18 )

18 × sin60° = a , then

a = 18 × $\frac{\sqrt{3} }{2}$ = 9$\sqrt{3}$

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cos60° = $\frac{adjacent}{hypotenuse}$ = $\frac{b}{18}$ ( multiply both sides by 18 )

18 × cos60° = b , then

b = 18 × $\frac{1}{2}$ = 9