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In ΔIJK, i = 180 cm, ∠J=89° and ∠K=38°. Find the length of k, to the nearest 10th of a centimeter.

Respuesta :

Answer:

138.8 cm

Step-by-step explanation:

Angle I =180 - 89 - 38 = 53

Using sine law

i/sinI = k/sinK

180/sin53 = k/sin38

k = 138.76

The length of k, to the nearest 10th of a centimeter, is ​138.8 cm

We have given

In ΔIJK,

i = 180 cm,

∠J=89° and

∠K=38

Now we have,

Angle I

=180 - 89 - 38

= 53

What is the sine law?

The low of sine is,

[tex]i/sinI = k/sinK[/tex]

By using the low of sine

180/sin53 = k/sin38

Simplify above

k = 138.76

Therefore we get the value of the length k is 138.8cm.

To learn more about the angle in centimeters visit:

https://brainly.com/question/25770607