Answer
0.95371695
Work Step by Step
Step 1: First, we convert the angle into decimal degrees:
$72^{\circ}30'=72\frac{30}{60}^{\circ}=72.5^{\circ}$
Therefore, $\sin 72^{\circ}30'=\sin 72.5^{\circ}$
Step 2: Then, we make sure that the calculator is in degree mode.
Step 3: We then type $\sin 72.5^{\circ}$ into the calculator.
Step 4: Solving, $\sin 72.5^{\circ}\approx0.95371695$.
