Other word problems relating angles in trigonometry

Lessons

• 1.
  A bird is sitting in a 35 metre tall tree looking down at a worm on the ground. If the angle of depression from the bird to the ground is $55^\circ$, how far is the bird from the worm?
  

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• 2.
  Standing on the balcony of an building A, the angle of elevation to the top of the building B across the street is $47^\circ$, and the angle of depression to the bottom of the building B is $58^\circ.$ If the buildings are 42 metres apart, find the height of the building B across the street.
  

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• 3.
  If the volume of the cube below is 512 $cm^3$, what is the length of AB?
  
  
  

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