suzanafarhatun suzanafarhatun
  • 09-06-2021
  • Mathematics
contestada

In ΔIJK, the measure of ∠K=90°, KJ = 65, IK = 72, and JI = 97. What is the value of the cosine of ∠J to the nearest hundredth?

Respuesta :

MrRoyal
MrRoyal MrRoyal
  • 14-06-2021

Answer:

[tex]\cos(J) = 0.67[/tex]

Step-by-step explanation:

Given

[tex]\angle K = 90^o[/tex]

[tex]KJ = 65[/tex]

[tex]IK = 72[/tex]

[tex]JI = 97[/tex]

Required

[tex]\cos(J)[/tex]

The question is illustrated with the attached image.

From the image, we have:

[tex]\cos(J) = \frac{KJ}{JI}[/tex]

This gives:

[tex]\cos(J) = \frac{65}{97}[/tex]

[tex]\cos(J) = 0.67010309278[/tex]

[tex]\cos(J) = 0.67[/tex] --- approximated

Ver imagen MrRoyal
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