A bird at the top of a tree looks down at a field mouse with an angle of depression of 65 degrees. If the field mouse is 30 meters from the base of the tree, find the distance from which the field mouse to the bird's eyes. Round the answer to the nearest tenth.

Question

Reiny · Answer

did you make a sketch of the right-angled triangle?
Remember the line of sight is parallel to the ground, and alternate angles are equal.

I have
tan 65° = h/30 , where h is the height of the tree
h = 30tan65 = 64.3 metres

Anonymous · Answer

I feel the question required not the ht of tree but distance between bird's eye and mouse which will be=hypoteneuse =30/cos65. May please check.