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If (1.33)sin(25) = (1.5)sin(theta), what is theta?

 

So far, I got this:

 

(1.33)sin(25) = (1.5)sin(theta)

 

sin(theta) = (1.33)sin(25) / (-0.11735188)

 

I don't know what else to do... a little help? Please?

 Jul 23, 2017
 #1
avatar+1904 
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I do not understand how you got to sin(Θ)=1.33sin(Θ)/(0.1135188); however, this is how I would sove this equation.

 

1.33×sin(25)=1.5×sin(Θ)

 

1.33×0.1323517500981.5×sin(Θ)

 

0.176027827630341.5×sin(Θ)

 

0.176027827630341.51.5×sin(Θ)1.5

 

0.176027827630341.51×sin(Θ)1

 

0.176027827630341.51×sin(Θ)

 

0.176027827630341.5sin(Θ)

 

0.1173518850868933sin(Θ)

 

sin1(0.1173518850868933)sin1[sin(Θ)]

 

0.11762291934Θ

 

Θ0.11762291934

 Jul 23, 2017
edited by gibsonj338  Jul 23, 2017
 #2
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If (1.33)sin(25) = (1.5)sin(theta), what is theta?

 

1.33 x 0.42261826..... = 1.5sin(theta)

0.5620823.... = 1.5sin(theta)   divide both sides by 1.5

Sin(theta) =0.5620823 / 1.5

Sin(theta) = 0.37472152541.....

Theta = Sin^-1(0.37472152541)

Theta = 22 Degrees.

 Jul 23, 2017
 #3
avatar+118696 
-1

(1.33)sin(25) = (1.5)sin(theta)

 

I think if is reasonable to assume that the given angles is 25 degrees

 

(1.33)sin(25)=(1.5)sin(θ)(1.33)sin(25)1.5=(1.5)sin(θ)1.5sinθ=(1.33)sin(25)1.5

 

1.33*sin(25)/1.5 = 0.3747215254103533

 

sinθ=0.3747215254103533θ=sin10.3747215254103533

 

 

asin(0.3747215254103533) = 22.007102456653

 

θ22

 Jul 23, 2017

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