3.2 Right-angled and non-right-angled trigonometry Quiz

1. In a right-angled triangle the hypotenuse is 10 and one angle is $30^\circ$. Find the side opposite the $30^\circ$ angle.

• A. $5$
• B. $5\sqrt3$
• C. $10\sqrt3$
• D. $20$

2. In triangle $ABC$, $a=6$, $A=30^\circ$ and $B=90^\circ$. Find $b$.

• A. $3$
• B. $6\sqrt3$
• C. $12$
• D. $3\sqrt3$

3. Find $c$ if $a=3$, $b=5$ and $C=120^\circ$.

• A. $\sqrt{19}$
• B. $7$
• C. $\sqrt{34}$
• D. $49$

4. Find the area of a triangle with sides 6 and 10 and included angle $150^\circ$.

• A. $15\sqrt3$
• B. $30$
• C. $15$
• D. $-15\sqrt3$

5. A triangle has sides 4, 5 and 6. Find the cosine of its largest angle.

• A. $\frac18$
• B. $\frac34$
• C. $-\frac18$
• D. $\frac{9}{16}$