Question
A hiker stands on a mountain peak near sunset and observes a rainbow caused by water droplets in the air $8.00 \mathrm{~km}$ away. The valley is $2.00 \mathrm{~km}$ below the mountain peak and entirely flat. What fraction of the complete circular arc of the rainbow is visible to the hiker? (See Fig. $35.25 .$ )
Step 1
We consider the red outer edge of the rainbow. The radius (r) of the circle of droplets is given by the equation $r = 8.00 \, \text{km} \times \sin(42°)$, which equals $5.35 \, \text{km}$. Show more…
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A hiker stands on an isolated mountain peak near sunset and observes a rainbow caused by water droplets in the air at a distance of 8.00 km along her line of sight to the most intense light from the rainbow. The valley is 2.00 km below the mountain peak and entirely flat. What fraction of the complete circular arc of the rainbow is visible to the hiker?
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