catherineirish19 catherineirish19
  • 16-06-2020
  • Mathematics
contestada

In ΔJKL, the measure of ∠L=90°, the measure of ∠K=77°, and LJ = 6.9 feet. Find the length of JK to the nearest tenth of a foot.

Respuesta :

mathstudent55
mathstudent55 mathstudent55
  • 16-06-2020

Answer:

JK = 7.1 ft

Step-by-step explanation:

For angle K, JL is the opposite leg. JK is the hypotenuse. The trig ratio that relkates the opposite leg to the hypotenuse is the sine.

[tex] \sin A = \dfrac{opp}{hyp} [/tex]

[tex] \sin K = \dfrac{JL}{JK} [/tex]

[tex] \sin 77^\circ = \dfrac{6.9}{JK} [/tex]

[tex] (JK)\sin 77^\circ = 6.9 [/tex]

[tex] JK = \dfrac{6.9}{\sin 77^\circ} [/tex]

[tex] JK = 7.1 [/tex]

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