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The pilot of an aeroplane, flying 10km above the ground in the direction of a…

The pilot of an aeroplane, flying 10km above the ground in the direction of a landmark, views the landmark to have angles of depression of 35^o and 55^o. Find the distance between the two points of observation

A.
10(sin 35^o – sin 55^o)
B.
10 cos35^o – cos 55^o
C.
10(tan35^o – tan55^o)
D.
10(cot35^o – cot55^o)

Correct Answer: Option D

Explanation

x = 10 cot35^o – 10 cot55^o
= 10(cot35^o – cot55^o)