Question

Find the unknown measures. Round lengths to the nearest hundredth and angle measures to the nearest degree.

Answer 1

Answer:

2nd option

Step-by-step explanation:

Using the sine and cosine ratios in the right triangle

sin82° = $\frac{opposite}{hypotenuse}$ = $\frac{KL}{KM}$ = $\frac{KL}{\sqrt{11} }$ ( multiply both sides by $\sqrt{11}$ )

$\sqrt11}$ × sin82° = KL , then

KL ≈ 3.28 ( to the nearest hundredth )

cos82° = $\frac{adjacent}{hypotenuse}$ = $\frac{ML}{KM}$ = $\frac{ML}{\sqrt{11} }$ ( multiply both sides by $\sqrt{11}$ )

$\sqrt{11}$ × cos82° = ML , then

ML ≈ 0.46 ( to the nearest hundredth )

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The sum of the 3 angles in a triangle = 180° , so

∠ K = 180° - (90 + 82)° = 180° - 172° = 8°