In a naval battle, a cruiser is attempting to fire on a frigate. The cruiser is a distance d₁ = 2,050 m to the east of the peak of a mountain on an island, as shown in the figure below. The frigate is attempting to evade cannon shells fired from the cruiser by hiding on the west side of the island. The initial speed of the shells that the cruiser fires is v₁ = 245 m/s. The peak of the mountain is h = 1,690 m above sea level, and the western shore of the island is a horizontal distance d₂ = 270 m from the peak. What are the distances (in m), as measured from the western shore of the island, at which the frigate will be safe from fire from the cruiser? (Note the figure is not to scale. You may assume that the height and width of the frigate are small compared to d₁ and h.) less than Need Help? Read It 0₁ Ja₂ m, or more than d₁ m

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In a naval battle, a cruiser is attempting to fire on a frigate. The cruiser is a distance d₁ = 2,050 m to the east of the peak
of a mountain on an island, as shown in the figure below. The frigate is attempting to evade cannon shells fired from the
cruiser by hiding on the west side of the island. The initial speed of the shells that the cruiser fires is v₁ = 245 m/s. The peak
of the mountain is h = 1,690 m above sea level, and the western shore of the island is a horizontal distance d₂ = 270 m
from the peak. What are the distances (in m), as measured from the western shore of the island, at which the frigate will be
safe from fire from the cruiser? (Note the figure is not to scale. You may assume that the height and width of the frigate are
small compared to d₁ and h.)
less than
Need Help?
Read It
0₁
Ja₂
m, or more than
d₁
m
Transcribed Image Text:In a naval battle, a cruiser is attempting to fire on a frigate. The cruiser is a distance d₁ = 2,050 m to the east of the peak of a mountain on an island, as shown in the figure below. The frigate is attempting to evade cannon shells fired from the cruiser by hiding on the west side of the island. The initial speed of the shells that the cruiser fires is v₁ = 245 m/s. The peak of the mountain is h = 1,690 m above sea level, and the western shore of the island is a horizontal distance d₂ = 270 m from the peak. What are the distances (in m), as measured from the western shore of the island, at which the frigate will be safe from fire from the cruiser? (Note the figure is not to scale. You may assume that the height and width of the frigate are small compared to d₁ and h.) less than Need Help? Read It 0₁ Ja₂ m, or more than d₁ m
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