A lighthouse of height \(h\ m\) stands on level ground. From the top of the lighthouse, the angles of depression of two objects lying along the same straight line through the foot of the lighthouse are \(α\) and \(β\), where \(β>α\). Find the distance between the two objects.
Answer:
\(tan\ \beta = \)
\(y=\)
\(tan\ \alpha=\)
\(x = \)
Answer variants:
\(\frac{h}{x+y}\)
\(\frac{y}{h}\)
\(\frac{h}{tan\ \beta}\)
\(\frac{h}{y}\)
\(h(tan\ \alpha - tan\ \beta)\)
\(h(cot\ \beta-cot\ \alpha)\)
\(h(cot\ \alpha - cot\ \beta)\)