Angle FEDwith angleF=90degree, ED=36, and FE=22, calcularé the measures of the unknown angles and the unknown side length of the triangle. Round your measures to the nearest tenth of a degree

Step-by-step explanation:

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We have been given that angle FED with angle F=90 degree, ED=36, and FE=22. We are asked to find the unknown angles and the unknown side length of the triangle.

We will use sine to solve for angle D as:

Therefore, measure of angle D is 37.7 degrees.

Now, we will find measure of angle E using angle sum property.

Therefore, measure of angle E is 52.3 degrees.

We will use Pythagoras theorem to solve for side FD as:

Therefore, length of side FD is approximately 28.5 units.

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step-by-step explanation: