Question

applying trigonometric ratios to estimate side lengths
rounded to the nearest tenth, what is the length of ln?
\\(\sin(20^{\circ}) = \frac{ln}{8}\\)
\\((8)\sin(20^{\circ}) = ln\\)
\\(\square = ln\\)

Explanation:

Step1: Recall the value of sin(20°)

We know that $\sin(20^\circ) \approx 0.3420$.

Step2: Calculate 8 times sin(20°)

Multiply 8 by the approximate value of $\sin(20^\circ)$: $8\times0.3420 = 2.736$.

Step3: Round to the nearest tenth

Rounding 2.736 to the nearest tenth gives 2.7.

Answer:

2.7