Question

Please help. Trig: Laws of Cosines

If a rhombus whose side measures 24 and the smaller angle is 47*, find the length of the larger diagonal, to the nearest tenth.

Answer 1

44.0 units

Explanation:

Bigger angle: 180 - 47 = 133

diagonal² = 24² + 24² - 2(24)(24)cos(133)

diagonal² = 1,937.662110792

diagonal = 44.0188835705