Question

In △ JKL, j=200cm, k=950cm and l=980cm. Find the measure of ∠ K to the nearest degree.

Answer 1

To find the measure of angle K in triangle JKL, we can use the Law of Cosines.

Step-by-step explanation:

To find the measure of angle K in triangle JKL, we can use the Law of Cosines. The Law of Cosines states that c^2 = a^2 + b^2 - 2ab*cos(C), where c is the side opposite to angle C. In this case, side j is opposite to angle K. Plugging in the values, we have:

j^2 = k^2 + l^2 - 2kl*cos(K)

200^2 = 950^2 + 980^2 - 2(950)(980)*cos(K)

Solving for cos(K), we have:

cos(K) = (950^2 + 980^2 - 200^2) / (2(950)(980))

Using a calculator, we find that cos(K) = 0.1093. Taking the inverse cosine, we find that K = 84.48 degrees (rounded to the nearest degree).