Respuesta :

Answer:

sin K = 0.96

Step-by-step explanation:

Draw this triangle.  It becomes evident that the hypotenuse, JK, is 25, and we are told that LK = 7.  Side JL is 24.  We can (but do not have to) verify that 7² + 24² = 25².

Then sin K = opp / hyp = 24 / 25.  This comes out to 0.96, to the nearest hundredth.  (Actually, there's no rounding off yet, not until we determine the value of K.  On a calculator, type in arctan 0.96.  This is the desired "value of the sine of angle K to the nearest hundredth."

Answer:

0.96

Step-by-step explanation:

sinK=  

hypotenuse

opposite

=  24/25

​  

≈0.96≈0.96