In ΔIJK, the measure of ∠K=90°, KJ = 77, IK = 36, and JI = 85. What ratio represents the cosine of ∠I?

We have been given that in ΔIJK, the measure of ∠K=90°, KJ = 77, IK = 36, and JI = 85. We are asked to find the ratio that represents the cosine of angle I.

First of all, we will draw a right triangle as shown in the attachment.

We know that cosine relates adjacent side of right triangle with hypotenuse.

We can see that adjacent side to angle I is IK and hypotenuse is IJ.

Therefore, the ratio of cosine of angle I is .

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