Stephan is standing on the ground by a mesa in the painted desert. stephan is 1.8 meters tall and sights the top of the mesa at 29 degrees. stephan steps back 100 meters and sights the top at 25 degrees. how tall is the mesa

Let our equation be: y = x tan 29 

and the step by step solution is:

y = (x + 100) tan 25 

x tan 29 = (x + 100) tan 25 

x tan 29 = x tan 25 + 100 tan 25 

x tan 29 - x tan 25 = 100 tan 25 

x(tan 29 - tan 25) = 100 tan 25 

x = 100 tan 25 / (tan 29 - tan 25) = 529.887 m 

y = x tan 29 = 293.72 m 

height of mesa is now computed as

= y + 1.8 = 295.52  or 296 m