In Delta mathrm{JKL}, j=74 inches, k=14 inches and l=67 inches. Find the measure of angle mathrm{L} to the nearest degree.

Question

Accepted Answer

Step:1 ：Use the Law of Cosines: (cos(L) = frac{j^2 + k^2 - l^2}{2jk})Step:2 ：Calculate (cos(L) = frac{74^2 + 14^2 - 67^2}{2(74)(14)} = 0.5709459459459459)Step:3 ：Find the measure of angle L in degrees: (L = acos(0.5709459459459459) * frac{180}{pi} = 55.18378418528763)Step:4 ：(boxed{55}) degrees is the measure of angle L

Answer

Step: 1 ：Use the Law of Cosines: (cos(L) = frac{j^2 + k^2 - l^2}{2jk})Step: 2 ：Calculate (cos(L) = frac{74^2 + 14^2 - 67^2}{2(74)(14)} = 0.5709459459459459)Step: 3 ：Find the measure of angle L in degrees: (L = acos(0.5709459459459459) * frac{180}{pi} = 55.18378418528763)Step: 4 ：(boxed{55}) degrees is the measure of angle L

In $\Delta \mathrm{JKL}, j=74$ inches, $k=14$ inches and $l=67$ inches. Find the measure of $\angle \mathrm{L}$ to the nearest degree.

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