WPP #12: Unit O Concept 10 - Solving Angle of Elevation and Depression Word Problem

Mark is spending a glorious weekend away from school, and is indulging in music. At a local venue, Mark's band was invited to play with multiple other local bands. When they arrive at the venue, Mark can't help but realize that the building is quite tall. 

A) If Mark is standing 10 feet away from the building, how tall is the building itself if the angle of elevation is 50 degrees?

B) Mark is now standing on top of the building. He looks across the street, and sees that the restaurant across the street has tables outside. In the starry night, his gaze is captured by a rather extremely attractive girl who appears to be his age and is sitting the equivalent of 30 feet away from him if he were to zip line over to her. Being the geek he is, the first thing that comes to Mark's mind is "How far away might this lady be?" (angle of depression is 40 degrees)

The Solution