KameronL363091 KameronL363091
  • 03-11-2022
  • Mathematics
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Find the length of the long leg of a right triangle with short leg = 8 and the larger angle = 67degrees.Round to the nearest whole number.

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AlcideX591108 AlcideX591108
  • 03-11-2022

the answer (rounded up) is 19.

the trigonometric function that relate us the two legs and an angle of a right triangle is tangent

[tex]\tan (\theta)=\frac{opposite\text{ side}}{adyacent\text{ side}}[/tex]

we know the measure of the short leg, and the angle that forms the short leg with the hypotenu

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