I need help with #1 ASAP

5.3 (Approx)

Step-by-step explanation:

Use 'SOH CAH TOA'

Sin=Opp/Hyp

Cos=Adj/Hyp

Tan=Opp/Adj

First, lets find angle CAD. CAD has an opposite and hypotenuse, which fits the criteria for sin (sin = opp/hyp).

Use the sin button on your calculator.

The equation is now:

sin(theta) = 3.2 / 5.1      

Rearrange the equation so it is:

theta = sin^-1 (3.2/5.1)

Then, find theta.

Theta = approximately 68 degrees.

Now, we know what theta is, and on the right side of triangle, we now know the opposite of theta. Since we are trying to find AB, which is the hypotenuse of the triangle, we can say that:

sin(theta) = 3.6 / hyp        (keep in mind we have already found theta)

Now, rearrange the equation to find hyp.

hyp = sin^-1 (3.6 / theta)        theta = 68

hyp = 5.3 approximately

AB = 5.3 approx.