Question

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

Answer 1

Answer:

$AB = 5.52$

Step-by-step explanation:

Reference angle = 65°

Opposite side = 5

Hypotenuse = AB = ?

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

$sin(\theta) = \frac{opp}{hyp}$

Plug in the values

$sin(65) = \frac{5}{AB}$

Cross multiply

$sin(65)*AB = 5$

Divide both sides by sin(65)

$AB = \frac{5}{sin(65)}$

$AB = 5.52$ (nearest hundredth)