31) An airplane is flying at an altitude of 6000 m over the ocean directly toward a coastline. At a certain time, the angle of depression to the coastline from the airplane is 14°. How much farther (to the nearest kilometer) does the airplane have to fly before it is directly above the coastline?

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Chapter2: Second-order Linear Odes
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31) An airplane is flying at an altitude of 6000 m over the ocean directly toward a coastline. At a certain
time, the angle of depression to the coastline from the airplane is 14°. How much farther (to the
nearest kilometer) does the airplane have to fly before it is directly above the coastline?
32) From a horizontal distance of 80.0 m, the angle of elevation to the top of a flagpole is 18°. Calculate
the height of the flagpole to the nearest tenth of a metre.
33) A 9.0 m ladder rests against the side of a wall. The bottom of the ladder is 1.5 m from the base of the
wall. Determine the measure of the angle between the ladder and the ground, to the nearest degree.
34) The angle of elevation of the sun is 68° when a tree casts a shadow 14.3 m long. How tall is the tree,
to the nearest tenth of a metre?
the nearest
Transcribed Image Text:31) An airplane is flying at an altitude of 6000 m over the ocean directly toward a coastline. At a certain time, the angle of depression to the coastline from the airplane is 14°. How much farther (to the nearest kilometer) does the airplane have to fly before it is directly above the coastline? 32) From a horizontal distance of 80.0 m, the angle of elevation to the top of a flagpole is 18°. Calculate the height of the flagpole to the nearest tenth of a metre. 33) A 9.0 m ladder rests against the side of a wall. The bottom of the ladder is 1.5 m from the base of the wall. Determine the measure of the angle between the ladder and the ground, to the nearest degree. 34) The angle of elevation of the sun is 68° when a tree casts a shadow 14.3 m long. How tall is the tree, to the nearest tenth of a metre? the nearest
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