Question

30 POINTS NEED URGENT HELP

Answer 1

Use SOH CAH TOA [pick one]


Since AC is hypotenuse [the length opposite of the right angle]
C is 30°.

We're finding AB.
So, we use SOH

$\sin(30) = \frac{ab}{96} \\ ab = 96 \sin(30) \\ ab = 48$

Answer 2

Answer:

$AB=48\text{ cm}$

Step-by-step explanation:

We have been given an image of a right triangle. We are asked to find the value of AB.

We can see that from our given diagram that angle C is opposite angle of side AB and side AC is hypotenuse of our given triangle.

We know that sine relates opposite side of a right triangle with its hypotenuse.

$\text{sin}=\frac{\text{Opposite}}{\text{Hypotenuse}}$

$\text{sin}(30^{\circ})=\frac{AB}{96}$

$\text{sin}(30^{\circ})\times 96=\frac{AB}{96}\times 96$

$0.5\times 96=AB$

$48=AB$

Therefore, AB is 48 cm.