Question

# Use the table to determine the length of $1^{\circ}$ of longitude at each of the following parallels:$\begin{matrix} \text{Length of }{1^{0} \ \text {Long. }} & \text{ } & \text{ } & \text{Length of }{1^{0} \ \text {Long. }} & \text{ } & \text{ } & \text{Length of }{1^{0} \ \text {Long. }}\\ \text{}{ ^\circ \ \text { LAT. }} & \text{km} & \text{miles} & \text{}{ ^\circ \ \text { LAT. }} & \text{km} & \text{miles} & \text{}{ ^\circ \ \text { LAT. }} & \text{km} & \text{miles}\\ \text{0} & \text{111.367} & \text{69.172} & \text{30} & \text{96.528} & \text{59.955} & \text{60} & \text{55.825} & \text{34.674}\\ \text{1} & \text{111.349} & \text{69.161} & \text{31} & \text{95.545} & \text{59.345} & \text{61} & \text{54.131} & \text{33.622}\\ \text{2} & \text{111.298} & \text{69.129} & \text{32} & \text{94.533} & \text{58.716} & \text{62} & \text{52.422} & \text{35.56}\\ \text{3} & \text{111.214} & \text{69.077} & \text{33} & \text{93.493} & \text{58.070} & \text{63} & \text{50.696} & \text{31.488}\\ \text{4} & \text{111.096} & \text{69.004} & \text{34} & \text{92.425} & \text{57.407} & \text{64} & \text{48.954} & \text{30.406}\\ \text{5} & \text{110.945} & \text{68.910} & \text{35} & \text{91.327} & \text{56.725} & \text{65} & \text{47.196} & \text{29.314}\\ \text{6} & \text{110.760} & \text{68.795} & \text{36} & \text{90.203} & \text{56.027} & \text{66} & \text{45.426} & \text{28.215}\\ \text{7} & \text{110.543} & \text{68.660} & \text{37} & \text{89.051} & \text{55.311} & \text{67} & \text{43.639} & \text{27.105}\\ \text{8} & \text{111.290} & \text{68.503} & \text{38} & \text{87.871} & \text{54.578} & \text{68} & \text{41.841} & \text{25.988}\\ \text{9} & \text{110.003} & \text{68.325} & \text{39} & \text{86.665} & \text{53.829} & \text{69} & \text{40.028} & \text{24.862}\\ \text{10} & \text{109.686} & \text{68.128} & \text{40} & \text{85.431} & \text{53.063} & \text{70} & \text{38.204} & \text{23.729}\\ \text{11} & \text{109.333} & \text{67.909} & \text{41} & \text{84.171} & \text{52.280} & \text{71} & \text{36.368} & \text{22.589}\\ \text{12} & \text{108.949} & \text{67.670} & \text{42} & \text{82.886} & \text{51.482} & \text{72} & \text{34.520} & \text{21.441}\\ \text{13} & \text{108.530} & \text{67.41} & \text{43} & \text{81.575} & \text{50.668} & \text{73} & \text{32.662} & \text{20.287}\\ \text{14} & \text{108.079} & \text{67.13} & \text{44} & \text{80.241} & \text{49.839} & \text{74} & \text{30.793} & \text{19.126}\\ \text{15} & \text{107.596} & \text{66.830} & \text{45} & \text{78.88} & \text{48.994} & \text{75} & \text{28.914} & \text{17.959}\\ \text{16} & \text{107.079} & \text{66.509} & \text{46} & \text{77.497} & \text{48.135} & \text{76} & \text{27.029} & \text{16.788}\\ \text{17} & \text{106.530} & \text{66.168} & \text{47} & \text{76.089} & \text{47.260} & \text{77} & \text{25.134} & \text{15.611}\\ \text{18} & \text{105.949} & \text{65.807} & \text{48} & \text{74.659} & \text{46.372} & \text{75} & \text{23.229} & \text{14.428}\\ \text{19} & \text{105.337} & \text{65.427} & \text{49} & \text{73.203} & \text{45.468} & \text{79} & \text{21.32} & \text{13.242}\\ \text{20} & \text{104.692} & \text{65.026} & \text{50} & \text{71.727} & \text{44.551} & \text{80} & \text{19.402} & \text{12.051}\\ \text{21} & \text{104.014} & \text{64.605} & \text{51} & \text{70.228} & \text{43.620} & \text{81} & \text{17.48} & \text{10.857}\\ \text{22} & \text{103.306} & \text{64.165} & \text{52} & \text{68.708} & \text{42.676} & \text{82} & \text{15.551} & \text{9.659}\\ \text{23} & \text{102.565} & \text{63.705} & \text{53} & \text{67.168} & \text{41.719} & \text{83} & \text{13.617} & \text{8.458}\\ \text{24} & \text{101.795} & \text{63.227} & \text{54} & \text{65.604} & \text{40.748} & \text{84} & \text{11.681} & \text{7.255}\\ \text{25} & \text{100.994} & \text{62.729} & \text{55} & \text{64.022} & \text{39.765} & \text{85} & \text{9.739} & \text{6.049}\\ \text{26} & \text{100.160} & \text{62.211} & \text{56} & \text{62.420} & \text{38.770} & \text{86} & \text{7.796} & \text{4.842}\\ \text{27} & \text{99.297} & \text{61.675} & \text{57} & \text{60.798} & \text{37.763} & \text{87} & \text{5.849} & \text{3.633}\\ \text{28} & \text{98.405} & \text{61.121} & \text{58} & \text{59.159} & \text{36.745} & \text{88} & \text{3.899} & \text{2.422}\\ \text{29} & \text{97.481} & \text{60.547} & \text{59} & \text{57.501} & \text{35.715} & \text{89} & \text{1.95} & \text{1.211}\\ \text{30} & \text{96.528} & \text{59.955} & \text{60} & \text{55.825} & \text{34.674} & \text{90} & \text{0} & \text{0}\\ \end{matrix}$$15^{\circ}$ latitude: ____ km, ____ mi. $30^{\circ}$ latitude: ____ km, _____ mi, $45^{\circ}$ latitude: ____ km, ____ mi, $80^{\circ}$ latitude: ____ km, ____ mi.

Solution

Verified

The length of 1° of longitude at following parallels:

15° latitude: 107.596 km, 66.830 mi 30° latitude: 96.528 km, 59.955 mi 45° latitude: 78.880 km, 48.994 mi 80° latitude: 19.402 km, 12.051 mi

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