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A traffic camera sits on top of a tower that has a height of 50 ., the angles of depression of two cars on a straight road at the same level as that of the base of the spire and on the same side of it are 25Â° and 40Â°. Calculate the the distance between the two cars.

Answers (1)

D Deependra Verma

$Given;height;of;tower=50;m\*we;have;find;distance;between;two;cars;point;C;and;D\* Let;BC=y;and;CD=x\* Now,;In; riangle ABC\* an 40^circ=fracABBC=frac50y\* Rightarrow y=frac50 an 40^circ\* In; riangle ABD\* an 25^circ=fracABBD=frac50x+y\* Rightarrow an 25^circ=frac50x+frac50 an 40^circ\* Rightarrow x+frac50 an 40^circ=frac50 an 25^circ\* Rightarrow x=frac50 an 25^circ-frac50 an 40^circ\* Rightarrow x=47.6;m\* herefore distance;between;two;cars;is;47.6;m$

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