2. Technology required. ABCD is a rectangle. Find the length of AC and the measures of a
and e.

Help pleaseee

AC = 12.4

Theta = 75.96 degrees

Alpha = 14.04 degrees

Step-by-step explanation:

Mathematically, the angle at each edge of the rectangle is 90 degrees

So, we can see a right triangle ABC

Where AC is its hypotenuse

Mathematically, the square of the hypotenuse equals the sum of the squares of the two other sides

That will be;

3^2 + 12^2 = 9 + 144 = 153

AC = √153

AC = 12.4

We need to use the appropriate trigonometric ratio to get the value of alpha and theta

For theta;

Its opposite side is 3 while its adjacent is 12

The trigonometric ratio to use is the tan

so;

tan theta= 3/12

tan theta = 1/4

theta = tan^-1 0.25

theta = 14.04

Now for alpha, since we have a right triangle

theta will be 90-14.04

theta = 75.96