The string of a kite is $150 \mathrm{m}$ long and it makes an angle of $60°$ with the horizontal. Find the height of the kite from the ground. (Take  $\sqrt{3}=1.73$). Give the answer in $\mathrm{m}$ in decimal.

Without using trigonometric tables, evaluate $\frac{\sin 16°}{\cos 74°}$.

Without using trigonometric tables, evaluate $\frac{\cos 25°}{\sin 65°}$.

Without using trigonometric tables, evaluate $\frac{\tan 38°}{\cot 52°}$.

Without using trigonometric tables, evaluate $\frac{\sec 62°}{\mathrm{cosec}28°}$.

Without using trigonometric tables, evaluate ${\sin }^{2}67°+{\sin }^{2}23°$.

Without using trigonometric tables, evaluate ${\left(\frac{\sin 49°}{\cos 41°}\right)}^2+{\left(\frac{\cos 41°}{\sin 49°}\right)}^2$.

Without using trigonometric tables, evaluate $\frac{{\cos }^{2}20°+{\cos }^{2}70°}{{\sin }^{2}59°+{\sin }^{2}31°}$.

Without using trigonometric tables, evaluate $\frac{\cos 70°}{\sin 20°}+\frac{\cos 59°}{\sin 31°}-8{\sin }^{2}30°$.