Question

Find the measure of the side labeled x. Round to two decimal places

Answer 1

Given:

Hypotenuse = "x"

Angle =42.1

Find-: Value of "x"

Sol:

Use the formula:

$\begin{gathered} \cos\theta=\frac{\text{ Base}}{\text{ Hypotenuse }} \\ \end{gathered}$

Where,

$\begin{gathered} \text{ Base=1730} \\ \\ \text{ Hypotenuse= }x \\ \\ \text{ Angle \lparen}\theta)=90-42.1 \\ \\ \theta=47.9 \end{gathered}$

So the hypotenuse is:

$\begin{gathered} \cos47.9=\frac{1730}{x} \\ \\ x=\frac{1730}{\cos47.9} \\ \\ x=\frac{1730}{0.67043} \\ \\ x=2580.45 \end{gathered}$

So the value of "x" is 2580.45