An observer at the top of a tower observes that two cars are running towards the foot of the tower at a distance of 120 m from each other making angles of depression α and β such that α > β and tan α = \(\sqrt{3}\) and tan β = \(\frac{1}{\sqrt{3}}\). Find the height of the tower.
120\(\sqrt{3}\) m
40\(\sqrt{3}\) m
80\(\sqrt{3}\) m
60\(\sqrt{3}\)m
Find the area of a trapezium whose parallel sides are 10 cm and 20 cm and non-parallel sides are equal to 10 cm.
70\(\sqrt{3}\) cm²
75\(\sqrt{3}\) cm²
60\(\sqrt{3}\) cm²
65\(\sqrt{3}\) cm²
Using BODMAS, simplify the following.
\( \frac{7}{9} \) × \( \frac{21}{5} \) × 25 (65² - 55²)