Question

what is the measure of ∠n to the nearest whole degree? 35° 45° 55° 65° law of cosines a² = b² + c² - 2bccos(a)

Explanation:

Step1: Identify the sides for cosine formula

In right - triangle MLN, we can also use the cosine function $\cos(N)=\frac{LN}{MN}$. Here, $LN = 4$ and $MN=7$.

Step2: Calculate the cosine of angle N

$\cos(N)=\frac{4}{7}\approx0.5714$.

Step3: Find the angle N

$N=\cos^{- 1}(0.5714)$. Using a calculator, $N\approx55^{\circ}$.

Answer:

$55^{\circ}$