Question

use one of the triangles to approximate mo in the triangle below. choose 1 answer: a 4.6 units b 5.6 units c 6.6 units d 9.8 units

Explanation:

Step1: Identify trigonometric relation

In right - triangle $OMN$ with $\angle O = 90^{\circ}$, $\angle M=35^{\circ}$ and hypotenuse $MN = 8$. We use the cosine function since $\cos M=\frac{MO}{MN}$.

Step2: Solve for $MO$

$MO = MN\times\cos M$. Substitute $MN = 8$ and $M = 35^{\circ}$. We know that $\cos35^{\circ}\approx0.819$. So $MO=8\times0.819 = 6.552\approx6.6$.

Answer:

C. 6.6 units