A lookout spots a fire from a 27 meters tower. The angle of depression from tower to fire is 14 degrees. To the nearest meter, how far is the fire from the base of the tower?

Question

anonymous · Answer

I just need a drawing of this.

jim_thompson5910 · Answer

Start with the tower

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jim_thompson5910 · Answer

then add in the fire

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jim_thompson5910 · Answer

We know that "The angle of depression from tower to fire is 14 degrees"

so this means that if you start looking straight horizontal and look down 14 degrees, you'll be looking straight at the fire

anonymous · Answer

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jim_thompson5910 · Answer

so this means we can add this in

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anonymous · Answer

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jim_thompson5910 · Answer

because these two lines are parallel

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we know that these two angles are congruent (they're alternate interior angles)

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