Question

A bird is flying 100 feet off the ground. Looking down at a 45° angle, it sees a mouse standing still. Approximately how far will the bird have to fly to catch the mouse?

Answer 1

Here, A triangle forms in which perpendicular is 100 feet and Hypotenuse is the distance from bird to mouse.

So, Sin Ф = P / H
Sin 45 = 100 / H
1/√2 = 100 / H
H = 100√2

In short, Your Answer would be 100√2 or 141.42 Feet

Hope this helps!