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

A) Sophia is tired of the same routine and so she decides to go up to the mountains with Edward and more friends. She is excited and thrilled about the whole trip up to Big Bear and she is hoping to have a blast with everyone. Now, as soon as they get there, Edward suggests going skiing and everyone says yes. As Sophia gets ready and then puts her skis on at the bottom of the mountain, she stands 700 feet away from it, she finds that the angle of elevation is 15 degrees. Before actually going up the mountain and then having a blast coming down, Sophia wants to know how high the mountain is. Estimate the height of the mountain and round to the nearest foot. 

B) So, after a while Sophie and Edward were the first ones to make it to the top of the mountain and they decide to contemplate the view from up top and they enjoy themselves for a while before racing down. As Sophia gets ready to ski down she stands at the tip of it and looks down. She estimates the angle of depression to be 25 degrees from where she is at the top to the very bottom of the mountain where all of her other friends were. Also, she is aware that the height of which she is found in now is 850 feet. How far down is the path that she will ski down? Round to the nearest foot. 

Answers: 

Cites for the 2 pictures I got on Google: 

http://www.disneyclips.com/imagesnewb/imageslwrakr01/pooh_tigger_piglet_eeyore_skis.gif

https://www.google.com/search?tbm=isch&tbs=simg:CAQSWxpZCxCo1NgEGgIICQwLELCMpwgaMgowCAESCqQEqQSsBKMEqAQaIKKoJxY7wJjGpCP8yYxW5LjlhGuMA5uFdfg5i9pv13V4DAsQjq7-CBoKCggIARIEasBVogw&sa=X&ei=vQ4YU7z2MZL9oATJm4EQ&ved=0CCMQwg4oAA&biw=1366&bih=667#facrc=_&imgdii=_&imgrc=rmBk_ghzxFEHvM%253A%3BAjyJcOxxAv9kwM%3Bhttp%253A%252F%252Fimg1.etsystatic.com%252F024%252F0%252F8427078%252Fil_340x270.490026831_a8ds.jpg%3Bhttp%253A%252F%252Fwww.etsy.com%252Fmarket%252Ffrozen_lake%3B340%3B270