We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive pseudonymised information about your use of our website. cookie policy and privacy policy.
 
+0  
 
0
45
1
avatar+850 

In \(\triangle{RST}\), shown, \(\sin{R}=\frac{2}{5}\). What is \(\sin{T}\)?

 Jun 28, 2019
 #1
avatar+8406 
+1

sin( angle )  =  opposite / hypotenuse

 

sin( R )  =  TS / 5

 

2 / 5  =  TS / 5

 

2  =  TS

 

Now we can find the length of RS using the Pythagorean Theorem.

 

22 + RS2  =  52

 

RS2  =  52 - 22

 

RS2  =  21

 

RS  =  √[ 21 ]

 

sin( angle )  =  opposite / hypotenuse

 

sin( T )  =  RS / 5

 

sin( T )  =  √[ 21 ] / 5

 Jun 28, 2019

9 Online Users