3.3 Applications of trigonometry Quiz

1. A man stands 50 m from a building. The angle of elevation of the top is $30^\circ$. How tall is the building?

• A. $25.0$ m
• B. $28.9$ m
• C. $43.3$ m
• D. $86.6$ m

2. The bearing of $B$ from $A$ is $125^\circ$. What is the bearing of $A$ from $B$?

• A. $055^\circ$
• B. $235^\circ$
• C. $305^\circ$
• D. $125^\circ$

3. From the top of a 60 m cliff the angle of depression of a boat is $25^\circ$. How far is the boat from the foot of the cliff?

• A. $28.0$ m
• B. $25.4$ m
• C. $54.4$ m
• D. $129$ m

4. In triangle $ABC$, $A=40^\circ$, $B=65^\circ$ and $a=8$. Find $b$.

• A. $11.3$
• B. $5.67$
• C. $8.00$
• D. $14.4$

5. A triangle has sides 5, 6 and 7. Find the largest angle.

• A. $44.4^\circ$
• B. $57.1^\circ$
• C. $78.5^\circ$
• D. $101.5^\circ$