Question

AB =
Round your answer to the nearest hundredth.
5
C
А
65°
B

Answer 1

`AB = 5.52`

Explanation:

Reference angle = 65°

Opposite side = 5

Hypotenuse = AB = ?

To find AB, the trigonometric ratio we would use will be:

`sin(\theta) = (opp)/(hyp)`

Plug in the values

`sin(65) = (5)/(AB)`

Cross multiply

`sin(65)*AB = 5`

Divide both sides by sin(65)

`AB = (5)/(sin(65))`

`AB = 5.52` (nearest hundredth)