The length of a runway at a national airport is 7500 ft long and at elevation 1500 ft above sea level. The airport was recently expanded to include another runway used primarily for corporate aircraft. It is desired to determine the length of this runway whose elevation is 1560 ft. An aerial photograph was taken of the airport. Measurements on the photograph for the national airport runway are 4.80" and for the corporate runway, are 3.4". The camera focal length is 6". Determine the length of the corporate runway.
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To calculate the length of the corporate runway, the scale of the
photograph at the elevation of the corporate runway must be determined. To
calculate the scale at any point on the photograph, the flying height from which
the photograph was taken must be determined. The scale at the elevation of the
national runway is:
S(1500 ft) = (4.8 in)(1 ft / 12 in) / 7500 ft = 1/18750
Use Equation 14.1 to solve for the flying height,
Use Equation 14.1 to solve for the scale at the elevation of the corporate runway,
The length of the corporate runway can then be found,
L = (3.4/12)(18630)
L = 5,278.5 ft
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