Other word problems relating angles in trigonometry

\frac{o}{h}

\frac{a}{h}

\frac{o}{a}

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?

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.

3.
Polar Company has designed an ice block in the shape of a cube. The volume of the cube is 15,625 $cm^3.$ Which of the following dimensions is the smallest opening of an ice dispenser that will accommodate length AB?

45cm wide