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I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER

I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER class=

Sagot :

kalulesultan

Answer:

a=13m

Step-by-step explanation:

that's it in the picture

View image kalulesultan
semsee45

Answer:

[tex]\sf a=\boxed{13}\:cm[/tex]

Step-by-step explanation:

Trigonometric ratios

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

where:

  • [tex]\theta[/tex] is the angle
  • O is the side opposite the angle
  • A is the side adjacent the angle
  • H is the hypotenuse

Given:

  • [tex]\theta[/tex] = 31°
  • O = a
  • H = 25 m

[tex]\implies \sf \sin(31^{\circ})=\dfrac{a}{25}[/tex]

[tex]\implies \sf a=25\sin(31^{\circ})[/tex]

[tex]\implies \sf a=12.87595187...\:cm[/tex]

Therefore, a = 13 cm (to the nearest whole number)

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