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\\)
(the image shows a right triangle lnm with right angle at n, angle at l is 70°, angle at m is 20°, and hypotenuse lm is 8.)

Explanation:

Step1: Calculate $8\sin(20^\circ)$

$\sin(20^\circ) \approx 0.3420$, so $8\times0.3420 = 2.736$

Step2: Round to nearest tenth

Round $2.736$ to 1 decimal place

Answer:

$2.7$