Question

In IJK, the measure of K=90 degrees, JI=53, IK=45, and KJ=28, What ratio represents the sine of I?

Answer 1

The given triangle is a right angle triangle. The diagram is shown below.

From the triangle, considering angle I as the reference angle,

hypotenuse = JI = 53

adjacent side = IK = 45

opposite side = KJ = 28

To find Sin I, we would apply the Sine trigonometric ratio which is expressed as

Sin # = opposite side/hypotenuse

Thus,

Sin I = 28/53