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Phantasy [73]
3 years ago
5

What is the value of tan x? 3/5 5/4 3/4 4/3 4/5

Mathematics
1 answer:
maksim [4K]3 years ago
3 0

Answer:

\sf \tan(x)=\dfrac{4}{3}

Step-by-step explanation:

<u>Trigonometric ratios</u>

\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}

where:

  • \theta is the angle
  • O is the side opposite the angle
  • A is the side adjacent the angle
  • H is the hypotenuse (side opposite the right angle)

From inspection of the diagram:

  • \theta = x
  • O = 8
  • A = 6
  • H = 10

\implies \sf \tan(x)=\dfrac{8}{6}=\dfrac{4}{3}

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