Descent Distance
Calculator
Where should the descent begin?
Method
From angle to distance
Find the height
Only the altitude that must be lost belongs in the calculation.
6500 − 2000 = 4500 ft
Turn the angle into ft/NM
Tangent gives the vertical side of a right triangle when its angle and horizontal side are known.
tan(angle) = vertical ÷ horizontal
tan 3.0° × 6080 = 318.6 ft/NM
One nautical mile is normally 6076 ft. Using 6080 ft is a practical rounded value.
Find the distance
Divide the altitude to lose by the number of feet lost in each nautical mile.
4500 ÷ 318.6 = 14.1 NM
1-in-60 mental calculation
4500 ÷ 300 = 15 NM
Explore the approximation
The 1-in-60 rule
For small angles, a change of about 1° produces approximately 1 unit of vertical change over 60 horizontal units.
tan 3.0° × 6080
3.0 × 6000 ÷ 60
Difference: 19 ft/NM (5.8%)
For mental calculation, round one nautical mile to 6000 ft. One degree is then approximately 100 ft/NM. Multiply the angle by 100 to get the divisor: 3.0° uses 300, 3.5° uses 350 and 4.0° uses 400.
Practice · Distance
Find the top of descent
You are at 7000 ft and need to reach 1500 ft. Use the 1-in-60 calculation for 3.0°.