Question

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

Answer 1

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 $\tan(39)$ :

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

$\implies x=12.34897157...$

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

Answer 2

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

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

$\\ \rm\rightarrowtail x=10tan51$

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

$\\ \rm\rightarrowtail x=12.348971565350$