Question 1034720
Use the tan function on both angles, and solve the equation, but first convert miles to feet:
7 miles = 36960 (1 mile = 5280 feet)
height/(length+36960)= tan 12
height/length = tan 37 
height/(length+36960)= 0.21256
height/length = 0.7536
Height of the mountain:
h= (36960*0.7536*0.21256)/(0.7536-0.21256) = 10942.71 feet
Hopefully I have it right. Please let me know if I don't. Learning is a continuous cycle.
John 
*[illustration Mountain.JPG]