Area of a triangle using sine Quiz

1. Find the area of a triangle with sides 8 cm and 11 cm and an included angle of $30^\circ$.

• A. $44$ cm$^2$
• B. $38.1$ cm$^2$
• C. $22$ cm$^2$
• D. $11$ cm$^2$

2. A parallelogram has sides 7 cm and 5 cm and an angle of $60^\circ$ between them. Find its area.

• A. $30.3$ cm$^2$
• B. $15.2$ cm$^2$
• C. $35$ cm$^2$
• D. $17.5$ cm$^2$

3. In triangle $ABC$, $A=40^\circ$, $B=60^\circ$ and $a=7$ cm. Find the area.

• A. $24.5$ cm$^2$
• B. $28.6$ cm$^2$
• C. $35.0$ cm$^2$
• D. $32.5$ cm$^2$

4. A ship sails from $P$ to $Q$ on a bearing of $075^\circ$, then from $Q$ to $R$ on a bearing of $150^\circ$. Find angle $PQR$.

• A. $75^\circ$
• B. $105^\circ$
• C. $150^\circ$
• D. $255^\circ$

5. A triangle has area 24 cm$^2$ and two sides of 6 cm and 10 cm. Find the acute included angle.

• A. $36.9^\circ$
• B. $41.8^\circ$
• C. $53.1^\circ$
• D. $126.9^\circ$