if c=17 on. and b=15 in., find the value of sin θ. write your answer as a fraction. you do not need to simplify

To find the value of sin θ, we can use the given information.

We have c = 17 on. and b = 15 in.

Using the Pythagorean theorem, we can find the value of a.

a^2 = c^2 - b^2
a^2 = (17^2) - (15^2)
a^2 = 289 - 225
a^2 = 64
a = 8 in.

Now, we can use the definition of sin θ to find the value of sin θ.

sin θ = opposite / hypotenuse
sin θ = b / c
sin θ = 15 / 17

Therefore, the value of sin θ is 15/17.