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Help!! Please!! Thank you!!

mathelp  May 2, 2018
 #1
avatar+87333 
+2

First one :

We know an opposite side and an adjacent side....the tangent seems most appropriate, here

So we have

 

tan x  = 11/9       use the tan  inverse  (atan) to find x

atan (11/9)  =  x ≈  50.71° = 51°

 

 

 

Second one....

 

tan Y  = 6/7          tan Z  = 7/6

 

 

Third  one :

 

We know an angle, the hypotenuse and we are looking for an adjacent side to the angle....the cosine is what we need

 

cos (26)  = x / 10   multiply both sides by 10

 

10 cos (26)  = x   ≈  9

 

 

Fourth one :

 

We know an angle, the adjacent side....and we are looking for the hypotenuse....the cosine, again....

 

cos36  = 12 / x       divide both sides by cos 36......multiply both sides by  x

 

x   =  12  / cos 36  ≈  14.8

 

 

Last one

We know an angle, an adjacent side....and we are looking for the opposite side.....the tangent seems good

 

tan  40  = x / 5       multiply both sides by  5

 

5 tan (40)  = x  ≈  4.2

 

 

 

cool cool cool

CPhill  May 2, 2018
 #2
avatar+108 
+1

Thank you! Thank you! I've been stuck on them. I appreciate the help! smiley

mathelp  May 2, 2018
 #3
avatar+87333 
+1

OK....no prob   !!!!

 

 

cool cool cool

CPhill  May 2, 2018

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