Question

find uv.
v u
61°
2.2
w
write your answer as an integer or as a decimal rounded to the nearest tenth.
uv =
submit

Explanation:

Step1: Use cosine function

In right - triangle \( \triangle UVW\), \(\cos U=\frac{UW}{UV}\). Given \(U = 61^{\circ}\) and \(UW = 2.2\).
So, \(\cos61^{\circ}=\frac{2.2}{UV}\).

Step2: Solve for \(UV\)

We know that \(UV=\frac{2.2}{\cos61^{\circ}}\). Since \(\cos61^{\circ}\approx0.4848\).
Then \(UV=\frac{2.2}{0.4848}\approx4.5\).

Answer:

\(4.5\)