Answer:
7.4inches
Step-by-step explanation:
Check the attachment for the diagram. Sine rule will be used to get the unknown side of the triangle.
According to the rule;
[tex]\frac{u}{sinU} = \frac{v}{sinV} = \frac{w}{sinW}\\\frac{u}{sinU} = \frac{w}{sinW}[/tex]
Given w = 3 in, ∠W=23° and ∠U=73°, on substituting into the equation above to get u we have;
[tex]\frac{u}{sin73^{0} } = \frac{3}{sin23^{0} }\\usin23^{0} = 3sin73^{0}\\u = \frac{3sin73^{0} }{sin23^{0} }\\u = \frac{2.87}{0.39} \\u = 7.358\\u = 7.4in[/tex]
The length of u is 7.4inches to nearest 10th of an inch
