Question

Help me solve this please!!

Answer 1

B

Explanation:

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

sin60° =
`(√(3) )/(2)` , cos60° =
`(1)/(2)`

sin60° =
`(opposite)/(hypotenuse)` =
`(a)/(18)` ( multiply both sides by 18 )

18 × sin60° = a , then

a = 18 ×
`(√(3) )/(2)` = 9
`√(3)`

-------------------------------

cos60° =
`(adjacent)/(hypotenuse)` =
`(b)/(18)` ( multiply both sides by 18 )

18 × cos60° = b , then

b = 18 ×
`(1)/(2)` = 9

Answer 2

The answer is

`a = 9 √(3) \: and \: b = 9`