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What are x, y, and z?

 

 Jan 13, 2020
 #1
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Remember SOHCATOA ?     s = opp/hyp      therefore   sin 45 = opp/hyp = z/(15 sqrt2)      the sin of 45= sqrt2/2 

                                                                                            sqrt2/2     = z/(15sqrt2)

                                                                                              ( 15 sqrt2) * sqrt2/2 =z

                                                                                                   z = 15

                                                                                            And the vertical line is also 15  (45 -90-45 triangle)

 

 

 

The top unlabeled angle is 30       

tan 30 = opp/adj = y/15      tan30 =  (sin30/cos30) = 1/2 / sqrt3/2 = 1/sqrt3

1/sqrt3 = y/15

    y = 1/sqrt3    * 15   =~  8.66

 

See if you can find x     you can use pythagorean theorem   or a trig function  sin cos or tan.....

 Jan 13, 2020

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