Question

In LMN, m = 8 cm, n = 2.8 cm and ZL=103°. Find the length of 1, to the nearest

10th of a centimeter.

Answer 1

9514 1404 393

Answer:

9.1 cm

Explanation:

The law of cosines can be used to find the missing side.

l² = m² +n² -2mn·cos(L)

l² = 8² +2.8² -2(8)(2.8)cos(103°) ≈ 81.9178

l ≈ √81.9178 ≈ 9.0508

The length of l to the nearest tenth centimeter is 9.1 cm.