Question

find c.
write your answer in simplest radical form.
yards
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work it out
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pythagorean theorem
solve one - step linear equations (100)
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64

Explanation:

Step1: Identify trigonometric ratio

We use the tangent function, since we know the side adjacent to the 60° angle (28 yd) and need the side opposite ($t$). The tangent of an angle is $\frac{\text{opposite}}{\text{adjacent}}$.
$\tan(60^\circ) = \frac{t}{28}$

Step2: Substitute $\tan(60^\circ)$ value

$\tan(60^\circ) = \sqrt{3}$, so substitute this into the equation.
$\sqrt{3} = \frac{t}{28}$

Step3: Solve for $t$

Multiply both sides by 28 to isolate $t$.
$t = 28\sqrt{3}$

Answer:

$28\sqrt{3}$ yards