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State each answer to three decimal places. Our convention will be that angles will be represented by upper case letters and opposing sides as lower case letters.

General Questions


A right triangle has a sides of z and y, and a hypotenuse of 9. The angle opposite z is 27°. Find the lengths of sides z and y and the measure of the angle opposite y.
1. 





A right triangle has legs x and 3. A 16º angle is opposite the side whose length is 3. Find the length of side x and the measure of its opposing angle, X.
2. 





A right triangle has sides 11 and x with a hypotenuse of 17.112. Find the length of side x and the measure of the angle opposite the side whose length is 11.
3. 





A right triangle has a side of 4 and a hypotenuse of 5. Find the angle between 4 and 5.
4. 





A right triangle has sides of 2.404 and y with a hypotenuse of x. The angle opposite of 2.404 is 87°. Find x, y, and the angle opposite y.
 
5. 





A right triangle has legs of length 5 and 3. Find the measure of the angle opposite the side whose length is 5.
6. 








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