Question

Belle, the cat, is looking down at a 78° angle from the top of a tree that is 30 ft tall, when she spots a bird on the ground. How far away is belle from the bird? Round to the nearest hundredth.

Answer 1

`\cos78^\circ=\frac{30}x`

where
`x` is the length of the hypotenuse formed by the tree and Belle's line of sight with the bird. Then the bird is

`x=(30)/(\cos78^\circ)\approx144.29`

ft away from Belle.