# Gimli Glider

Aircraft Boeing 767 lose both engines at 42000 feet. The plane captain maintain optimum gliding conditions. Every minute, lose 1910 feet and maintain constant speed 211 knots.

Calculate how long it takes to plane from engine failure to hit the ground. Calculate how far the pilot glide plane.

1 foot = 1 ft = 0.3 m
1 knot = 1.9 km/h

Result

t =  22 min
s =  146.4 km

#### Solution:

$t = \dfrac{ 42000}{ 1910} = 22 \ \text { min }$
$s_1 = t . v = \dfrac{ 21.99}{60} \cdot 211 \cdot 1.9 = 146.93 \ km \ \\ s_2 = 42000 \cdot 0.3 / 1000 = 12.6 \ km \ \\ \ \\ s = \sqrt{s_1^2 - s_2^2} = 146.4 \ \text { km }$

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#### Following knowledge from mathematics are needed to solve this word math problem:

Do you want to convert length units? Pythagorean theorem is the base for the right triangle calculator. See also our trigonometric triangle calculator.

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