## Wednesday, March 5, 2014

### WPP #12: Unit O Concept 10: Solving angle of elevation and depression word problems

Our dear friend Phil has been struck with the wish to travel around the country, he's been bitten by the wander bug.

## The Problems

a) Phil packs his bags and takes a roadtrip up to Seattle. There he finds Seattle's Space Needle of 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)

b) Once Phil gets tired of all the Space Needle this and Space Needle that, and the city overall in general, he heads over to Yosemite where Moro Rock lies standing tall at 300 feet where he can enjoy the panoramic view. But the mighty rock is slanted at its highest point, Phil estimates the angle of depression from where he is standing (at 300 feet) to the bone-crushing  bottom to be 53*. Should Phil fall, like the klutz he is, how long is his path to certain doom? (Round to the nearest foot.)