605 feet casting a 410 foot shadow at which Phil is standing at the end of. If Phil looks at the top of the building (and avoids getting his eyes burnt by the sun) what is the angle of Phil's eyes to the top of the building? (to the nearest hundredth of a degree AND assume Phil's eyes are 5 feet above ground level since he's a short little fellow.(http://upload.wikimedia.org/wikipedia/commons/3/38/BMX_aloft_and_Space_Needle_03.jpg)
a) Because it is from Phil's eye level of 5 feet we subtract 5 from 605 giving us 600. Its height is now 600 and the length is 410 which gives us the opposite (600) and adj (410) side. So we are looking for the angle (x). We use tan because of TOA and we use the inverse to undo tan to find our angle so it is tan -1 x (600/410) which is 55.65 degrees.