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right triangle trigonometry - sohcahtoa right triangle trigonometry rel…

Question

right triangle trigonometry - sohcahtoa
right triangle trigonometry relates the sides of a right triangle to the angle measures of the two acute angles.
fill in the missing information. text should be lower case.
calculate the value for x.
answer (round to 1 decimal): x = (ie 1.2 or 16.0)

Explanation:

Step1: Identify the angle

The given angle is $68^{\circ}$. So, $\tan68^{\circ}=\frac{x}{12}$.

Step2: Solve for x

We know that $\tan68^{\circ}\approx2.475$. Then $x = 12\times\tan68^{\circ}$. Substituting the value of $\tan68^{\circ}$, we get $x=12\times2.475 = 29.7$.

Answer:

$x = 29.7$