Question

what is the area of triangle pqr? round to the nearest tenth of a square unit.
70.5 square units
111.3 square units
185.4 square units
222.5 square units
trigonometric area formula: area = $\frac{1}{2}absin(c)$

Explanation:

Step1: Identify sides and included angle

PQ=20, PR=12, included angle P=68°

Step2: Apply area formula

Area = $\frac{1}{2} \times 20 \times 12 \times \sin(68^\circ)$

Step3: Calculate numerical value

$\frac{1}{2} \times 20 \times 12 = 120$; $\sin(68^\circ) \approx 0.9272$; $120 \times 0.9272 \approx 111.3$

Answer:

B. 111.3 square units