calixtro4life calixtro4life
  • 23-02-2021
  • Mathematics
contestada

To the nearest 10th, find the measure of the missing side.


To the nearest 10th find the measure of the missing side class=

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MrRoyal
MrRoyal MrRoyal
  • 28-02-2021

Answer:

[tex]x = 30.7[/tex]

Step-by-step explanation:

Given

See attachment

Required

Find x

To find x, we make use of:

[tex]cos(\theta) = \frac{Adjacent}{Hypotenuse}[/tex]

In this case, it is:

[tex]cos(36) = \frac{x}{38}[/tex]

Multiply both sides by 38

[tex]38 * cos(36) = \frac{x}{38}*38[/tex]

[tex]38 * cos(36) = x[/tex]

[tex]38 * 0.8090= x[/tex]

[tex]30.742= x[/tex]

[tex]x = 30.742[/tex]

[tex]x = 30.7[/tex] -- approximated

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