Answered

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Find the value of x. Round your answer to the nearest tenth.2116

Find The Value Of X Round Your Answer To The Nearest Tenth2116 class=

Sagot :

Let's begin by listing out the information given to us:

height (opposite) = 21, breadth (adjacent) = 16, x = ?

We have the length of the side opposite angle x and we have the length of the side adjacent to angle x. This informs us of the trigonometric ratio to us

We will use the trigonometric ratio to calculate for x as shown below:

[tex]\begin{gathered} Tan(x)=\frac{opposite}{adjacent}=\frac{21}{16}=1.3125 \\ Tan(x)=1.3125 \\ x=tan^{-1}(1.3125)=52.69=52.7 \\ \therefore x=52.7^{\circ}NearestTenth) \end{gathered}[/tex]

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