Asked by Kristina

A searchlight initially points due west. The light rotates clockwise at a constant speed so that it completes one revolution every 2 minutes. A building is located 200 yards west and 50 yards north of the searchlight. How many minutes into the first revolution of the searchlight will the building be illuminated by the searchlight?

I understand how to get the angle (arctan(3/20)) but I don't know how to get the time. Please help!
Answered by oobleck
if it rotates once in 2 minutes, the angular velocity is
2π/2 = π radians/minute

Not sure how you got tanθ = 3/20
I get tanθ = 50/200 = 1/4
so it will take
arctan(1/4)/π minutes to illuminate the building
Answered by Kristina
Ah, I got the numbers mixed up. Thank you so much!
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