Question

Please help.. 10 points

Answer 1

z = 55.15432893

x = 59.61543424

y = 22.5166605

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 =
`(39)/(z)`

z sin 45 = 39

z =
`(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 =
`(39)/(adj)`

y tan 60 = 39

y =
`(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`