Question

the law of cosines is used to find the value of m. to the nearest whole number, what is the value of m? 13 14 43 45 m² = 27² + 18² - 2(27)(18)cos(28°) m² = 729 + 324 - (972)cos(28°) m² = 1053 - (972)cos(28°)

Explanation:

Step1: Calculate the value of $\cos(28^{\circ})$

$\cos(28^{\circ})\approx0.8829$

Step2: Calculate the value of $m^{2}$

$m^{2}=1053 - 972\times0.8829=1053 - 858.1788 = 194.8212$

Step3: Calculate the value of $m$

$m=\sqrt{194.8212}\approx14$

Answer:

14