#### Answer

$(0.6537+7.4714i)$

#### Work Step by Step

$[2.5(\cos35^{\circ}+i\sin35^{\circ})][3.0(\cos50^{\circ}+i\sin50^{\circ}]$
Using the product theorem, the expression becomes
$2.5(3.0)[\cos(35^{\circ}+50^{\circ})+i\sin(35^{\circ}+50^{\circ})]$
Simplifying, $7.5(\cos85^{\circ}+i\sin85^{\circ})$
Using a calculator, $7.5(0.08716+0.99619i)$
Simplifying further, $(0.6537+7.4714i)$