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Dmitrij [34]
2 years ago
8

So I have this question here, can someone please help me?

Mathematics
2 answers:
sergiy2304 [10]2 years ago
4 0

\\ \rm\rightarrowtail tan\theta=\dfrac{Perpendicular}{Base}

\\ \rm\rightarrowtail tan51=\dfrac{x}{10}

\\ \rm\rightarrowtail x=10tan51

\\ \rm\rightarrowtail x=10(1.2348971565350)

\\ \rm\rightarrowtail x=12.348971565350

salantis [7]2 years ago
3 0

Answer:

Use tan trig ratio:

\sf tan(\theta)=\dfrac{O}{A}

where \theta is the angle, O is the side opposite the angle, and A is the side adjacent the angle

Given:

  • \theta = 39°
  • O = 10
  • x = A

Substituting these values into the formula:

\implies  \tan(39)=\dfrac{10}{x}

Multiplying both sides by x:

\implies  x\tan(39)=10

Dividing both sides by \tan(39) :

\implies  x=\dfrac{10}{\tan(39)}

\implies  x=12.34897157...

\implies  x=12.3 \ \textsf{(nearest tenth)}

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