HombreZombie1234 HombreZombie1234
  • 12-05-2020
  • Mathematics
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What is the missing angle in the right triangle?

What is the missing angle in the right triangle class=

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mathstudent55
mathstudent55 mathstudent55
  • 12-05-2020

Answer:

68

Step-by-step explanation:

For angle A, 3 is the adjacent leg. 8 is the hypotenuse.

The trig ratio that relates the adjacent leg to the hypotenuse is the cosine.

[tex] \cos A = \dfrac{adj}{hyp} [/tex]

[tex] \cos A = \dfrac{3}{8} [/tex]

[tex] \cos A = 0.375 [/tex]

We know the cosine of angle A equals 0.375. We take the inverse cosine of 0.375 to find the measure of the angle.

[tex] A = \cos^{-1} 0.375 [/tex]

[tex] A = 68^\circ [/tex]

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