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





Help pleaseee

2 Technology required ABCD is a rectangle Find the length of AC and the measures of a and e Help pleaseee class=

Respuesta :

Answer:

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

abidemiokin

The measure of AC to the nearest hundredth is 12.37

SOH CAH TOA identity

From the given figure, we have the following parameters

Using the theorem;

tan a = 12/3

tan a = 4

a = 75.96

theta = 90 - 75.96

theta = 14.03

For the length of AC, we will use the Pythagoras theorem

AC = √3² + 12²

AC = √9+144
AC = 12.37

Hence the measure of AC to the nearest hundredth is 12.37

Learn more on SOH CAH TOA here: https://brainly.com/question/20734777

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