Algebra $2$ $\newline$ Name $\newline$ Elizabeth $\newline$ Torres $\newline$ Right Triangles $\newline$ Date $\newline$ $\quad$ $\newline$ PeI $\newline$ Find the measure of each side indicated. Round to the nearest tenth. $\newline$ $1$ ) $\newline$ \begin{align}$\newline\sin 52 &= \frac{13}{x} (\newline$\frac{x}{\cancel{7881}}(13) &= \frac{x}{\cancel{x}} \times x (\newline\)\frac{7881}{7881} &= \frac{13}{7881} (\newline\)x &= 16.49 $\newline$ \end{align}\)

View step-by-step help

Home

Math Problems

Calculus

Find higher derivatives of rational and radical functions

Full solution

Q. Algebra

2

\newline

Name

\newline

Elizabeth

\newline

Torres

\newline

Right Triangles

\newline

Date

\newline

\quad

\newline

PeI

\newline

Find the measure of each side indicated. Round to the nearest tenth.

\newline

1

)

\newline

\begin{align*}$\newline\sin 52 &= \frac{13}{x} (\newline$\frac{x}{\cancel{7881}}(13) &= \frac{x}{\cancel{x}} \times x (\newline\)\frac{7881}{7881} &= \frac{13}{7881} (\newline\)x &= 16.49

\newline

\end{align*}\)

Write Equation: First, let's write down the equation given by the problem: $\sin(52°) = \frac{13}{x}.$
Multiply Both Sides: Now, we need to solve for $x$ . To do this, we'll multiply both sides of the equation by $x$ to get $x \times \sin(52°) = 13$ .
Isolate $x$ : Next, we divide both sides by $\sin(52°)$ to isolate $x$ . So, $x = \frac{13}{\sin(52°)}$ .
Calculate $\sin(52°)$ : We'll use a calculator to find the value of $\sin(52°)$ . $\sin(52°) \approx 0.7880$ (rounded to four decimal places).
Plug in Value: Now, plug the value of $\sin(52°)$ into the equation: $x = \frac{13}{0.7880}$ .
Perform Division: Perform the division to find $x$ . $x \approx 16.5$ (rounded to the nearest tenth).