Question

In triangle IJK, the measure of angle K is 90, IK= 39, JI = 89 and KJ= 80. What ratio represents the sine of angle I?

Answer 1

80 / 89

Explanation:

Please see attached photo for explanation.

In the attached photo, the following data were obtained:

<I = θ

Hypothenus = 89

Opposite = 80

Sine <I =?

Sine ratio of <I can be obtained as follow:

Sine θ = Opposite / Hypothenus

Sine <I = 80 / 89

Thus, the ratio of sine <I is 80 / 89