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

Pooky's great adventure in Disneyland!:

One beautiful Tuesday afternoon, while roaming around looking for her parents, Pooky stumbled upon the Sleeping Beauty Castle at Disneyland. She was admiring its beauty when all of the sudden she was kidnapped by the troublesome Tinkerbell! GASP. (Here's the deets: Tinkerbell was jealous that as Peter Pan flew past the castle, he admiringly stared at Pooky.) Unfortunately, Tinkerbell placed Pooky in the highest tower, making it difficult for Pooky to be rescued.

While Pooky waited for Prince Charming to save her from the tower, she decided to measure Matterhorn's mountain height. Being the smart-alec she was, she figured out something incredible.

She measured the angle of elevation to the mountain across to be 29 degrees and the angle of depression (to the base of the mountain) to be 40 degrees. If the two, the castle and mountain, are 75 feet apart, how tall is the Matterhorn Mountain? (Round to the nearest foot) 

Here's a lovely picture of Pooky admiring Disneyland:

Picture made and taken by the lovely Victoria Ventura

Here's the real business and work for the problem:

Picture made and taken by the lovely Victoria Ventura

ANY QUESTIONS? FEEL FREE TO COMMENT.