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]

Answer Link

Otras preguntas

We are currently facing a water crisis in KZN with many homes being left without water for weeks on end.Sipho, who is theChairperson of the Body corporate of yo
i just need help with B.
1. Discuss how Zaitsev’s rule can be used to predict the products of 1,2 elimination of water from 3-methyl-3-pentanol.
which controls can be operated when your car's ignition switch is in the Accessory position?
Use the digits 5, 2, 0, 9 and 7 to form the smallest 4-digit even number which is divisible by 3.
Find the least no which divided by 12,16,24 leaves reminder 7 in each case
Who engorged lucas sithole.
Hello, I need a little help with my English homework, I would be happy if someone could help me! Nice day!
When the board of doctors hired mulally, they felt he had the best opportunity to
2*3273*6379*7643*85468*742600531590*986421*8652179964*9975२​