1 Answer

Tylisha · Answer 1 · 2023-02-26T22:10:50+0000

Solution:

Applying SOHCAHTOA,

Given the following dimensions below;

$\begin{gathered} x=Opposite \\ Hypotenuse=22\text{ units} \\ \theta=43\degree \end{gathered}$

Applying the sine formula

$\sin\theta=(Opposite)/(Hypotenuse)$

Substitute the values of the variables

$\begin{gathered} \sin43\degree=(x)/(22) \\ x=22*\sin43\degree \\ x=15.00396 \\ x=15.0\text{ units \lparen nearest tenth\rparen} \end{gathered}$

Hence, the value of x is 15.0 units (nearest tenth)

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