You are standing at the peak of a mountain that is 14000 feet above sea level. The angle of depression from this peak to a nearby smaller peak is 4°. On your map, these two peaks are represented by points that are 1 inch apart. If each inch on your map represents 1.2 miles, how many feet above sea level is the second peak?

Question

You are standing at the peak of a mountain that is 14000 feet above sea level.  The angle of depression from this peak to a nearby smaller peak is 4°.  On your map, these two peaks are represented by points that are 1 inch apart.  If each inch on your map represents 1.2 miles, how many feet above sea level is the second peak?

Damon · Answer

1.2 miles * 5280 ft/mile = 6336 ft tan 4 = d/6336 d = 443 feet down 14,000 - 443 =

David · Answer

13567