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2 years ago

Find the missing side of the triangle SHOW YOUR WORK!!

Mathematics

2 answers:

o-na [289]2 years ago

7 0

139.49

Step-by-step explanation:

using trig ratios.

tan=o/a

tan74°=n/40

40tan74°=n

use calculator to solve

=139.49

hope this helped :)

Ksju [112]2 years ago

5 0

<u>We will solve it using trigonometry formulas:</u>

<u></u> $\boxed{
\begin{minipage}{5 cm}
{Formulae:} \\ \\
$\bigstar\:\:\sin\theta\:=\:\frac{Opposite}{Hypotenuse} \\ \\
\bigstar\:\:\cos\theta\:=\:\frac{Adjacent}{Hypotenuse} \\ \\
\bigstar\:\:\tan\theta\:=\:\frac{Opposite}{Adjacent}$
\end{minipage}
}$

$\rule{190pt}{2pt}$

$\bold{\ttt{Given,}}\\$

$\sf{Adjacent=40}\\
\sf{Opposite=n}\\
\sf{\theta=74\°$

$\bold{\ttt{Solution,}}\\$

${\tan\theta\:=\:\frac{Opposite}{Adjacent}}}$

${\sf{\tan74\:=\:\frac{n}{40}$

${\sf{\tan74\:x\:40\:=\:n$

${\sf{139.49\:=\:n$

${\sf{n\:\approx139.5$

$\boxed{\sf{n\:=\:139.5}}$

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