Question

question 2 of 25
calculate the length a to two decimal places.

a. 13.68
b. 15
c. 187.2
d. 14.87

Explanation:

Step1: Apply the Law of Cosines

The Law of Cosines formula is \(a^{2}=b^{2}+c^{2}-2bc\cos A\). Here, \(b = 7\), \(c = 9\), and \(A=117^{\circ}\).

$$
LATEXBLOCK0
$$

Step2: Solve for \(a\)

Take the square - root of \(a^{2}\).

$$a=\sqrt{187.20274}\approx13.68$$

Answer:

A. 13.68