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nevsk [136]
3 years ago
14

Please help.. 10 points

Mathematics
1 answer:
Leokris [45]3 years ago
3 0

Answer:

z = 55.15432893

x = 59.61543424

y = 22.5166605

Step-by-step explanation:

To find length "z" you will have to use SOHCAHTOA.

Labelling the triangle will show us that the side marked "z" is the hyp and the side marked 39 is the opp.

sin 45 = \frac{39}{z}

z sin 45 = 39

         z  = \frac{39}{sin45}

         z = 55.15432893

Using Pythagoras' theorem, you can find that the adj = 39

In the other triangles POV, the adj is actually the opp.

Therefore, use tangent to find y.

tan 60 = \frac{39}{adj}

y tan 60 = 39

           y = \frac{39}{tan60}

           y = 22.5166605

Use Pythagoras's Theorem to find x.

23^{2} + 55^{2} = x^{2}\\\sqrt{23^{2} + 55^{2}}  = x\\59.61543424=x

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Step-by-step explanation:

A triangle has to equal to 180 degrees, add 65 and 33 together to get 98 degrees, subtract 180 from 98 to get 82 degrees.  Part B is self explanatory.

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Figure out the pattern, fill in the blank square.
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