If tan φ + cot φ = 5, then find the value of (tan2 φ + cot2 φ).
From the top of a 150 m tall building A, the angle of elevation to the top of the building B is 45 degrees and the angle of depression to the bottom of the building B is 30 degrees. What is the height of the building B?
250 m
\(\frac{450}{\sqrt{3}}\) m
\(\frac{150}{\sqrt{3}}\) m
\(\displaystyle 150(1+\sqrt{3})\) m