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Yakvenalex [24]
1 year ago
14

Solve this trigonometry question, please by an easy method.​

Mathematics
2 answers:
Fynjy0 [20]1 year ago
8 0

Answer:

x = 7.41 (nearest hundredth)

y = 9.53 (nearest hundredth)

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 (the side opposite the right angle)

From inspection of the triangle:

  • \theta = 39°
  • O = 6
  • A = x
  • H = y

To find x, use the tan <u>trigonometric ratio</u>:

\implies \tan 39^{\circ}=\dfrac{6}{x}

\implies x=\dfrac{6}{\tan 39^{\circ}}

\implies x=7.409382939...

Therefore, x = 7.41 (nearest hundredth)

To find y, use the <u>sin trigonometric ratio</u>:

\implies \sin 39^{\circ}=\dfrac{6}{y}

\implies y=\dfrac{6}{\sin39^{\circ}}

\implies y=9.534094374...

Therefore, y = 9.53 (nearest hundredth)

Learn more about trigonometric ratios here:

brainly.com/question/27938163

brainly.com/question/27938731

podryga [215]1 year ago
7 0
  • tan39=6/x
  • x=6/tan39
  • x=7.4

And

  • sin39=6/y
  • y=6/sin39
  • y=9.5
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