A Lighthouse Is on a Small Island 3 Km Away $P$

question 232

Multiple Choice

A lighthouse is on a small island 3 km away from the nearest point $P$ on a straight shoreline, and its light makes 4 revolutions per minute. At what rate is the beam of light moving along the shoreline when it is 1 km away from $P$ ?

• A) \(20 \pi \mathrm { km } / \mathrm { h }\)
• B) \(\frac { 70 \pi } { 3 } \mathrm {~km} / \mathrm { h }\)
• C) \(\frac { 80 \pi } { 3 } \mathrm {~km} / \mathrm { h }\)
• D) \(\frac { 100 \pi } { 3 } \mathrm {~km} / \mathrm { h }\)
• E) \(\frac { 110 \pi } { 3 } \mathrm {~km} / \mathrm { h }\)
• F) \(40 \pi \mathrm { km } / \mathrm { h }\)
• G) \(\frac { 130 \pi } { 3 } \mathrm {~km} / \mathrm { h }\)
• H) \(\frac { 140 \pi } { 3 } \mathrm {~km} / \mathrm { h }\)

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