Question

Which best approximates the area of triangle ABC? Picture given.

Answer 1

The sine of an angle is going to be equal to the opp/hyp. So in this case:\[h/25 = \sin 15\]\[h = 25 \sin 15\].
We can now plug this into the usual triangle area formula:
\[A = bh/2\]\[A = (25 \sin 15)(30)/2\]\[A = 375 \sin15\]
Now just use your slide rule to find sin 15 and multiply to finish.