lizmenchaca
lizmenchaca lizmenchaca
  • 22-02-2022
  • Mathematics
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find the measure of angle A of the following triangle

find the measure of angle A of the following triangle class=

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Leora03
Leora03 Leora03
  • 22-02-2022

Answer:

48.2° (1 d.p.)

Step-by-step explanation:

Start by labelling the given sides on the triangle.

The side in which the angle of interest and the right angle sits on is the adjacent side, while the side facing the right angle is the hypotenuse side (denoted by hyp).

[tex]\boxed{ \cosθ = \frac{adj}{hyp} }[/tex]

[tex]\cosθ = \frac{6}{9} [/tex]

[tex]θ = \cos^{ - 1} ( \frac{6}{9} )[/tex]

θ= 48.2° (1 d.p.)

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