From a point on the ground at a distance of 100 metres away from a tower, the top of the tower is seen at an angle of elevation $45^{\circ}$. From the top of the tower, a car is seen on the opposite side of the tower at an angle of depression $25^{\circ}$. a Draw a rough figure showing the details given in the question. b Find the height of the tower. c What is the distance of the car from the tower? $$ \left(\sin 65^{\circ}=0.91, \cos 65^{\circ}=0.42, \tan 65^{\circ}=2.14\right) $$
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