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Length of DE = 22.8cm

Step-by-step explanation:

Given: 23° and 8.9cm

To find the length of DE, we need to use the SOH-CAH-TOA method.

Since DE is the hypotenuse (The longest side), we need to use SOH meaning sinФ().

The opposite of the angle, 23° is 8.9cm, by replacing the formula with the given, we would get the following: sin(23°)=().

To calculate, we need to multiply 'x' to both sides: x*sin(23°) = 8.9

Using a calculator, sin(23°) is 0.39

0.39x = 8.9

By dividing 0.39 to both sides, we should end up with 22.8cm (rounded to the nearest tenth of a centimeter).

-6 is the correct option from the above given options

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