Teenutx
Teenutx
20-03-2021
Mathematics
contestada
Inverse trigonometric ratios
Respuesta :
doh5554
doh5554
20-03-2021
Answer:
Step-by-step explanation:
First we go to find
the length of ZX
Notice that the angle of 25 degrees is opposite of the side length of 15 and
ZX
is what were trying to find.
Set up the equation sin25=15/x
Now move the 15 to the other side, x*sin25=15
now use your calculator to find x=35.4930238935
now find angle x( the triangle on the right)
notice that we the the side opposite to as 22 and the adjcent as 35.4930238935,we can use the tangent function to find the angle
set up the equation tanx=22/35.4930238935
tanx=0.619840114666
x=tan^-1(0.619840114666)
x=51.69554°
now know that a triangle has a total of 180 degrees, now we have the two angles we can make a equation for W to find the angle
W+51.69554+90=180
W+51.69554=90
W=38.30446
So the final Answer is m of W = 38.30446 degrees.
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