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Answer

• Angle of depression car A = 30°
• Angle of car B = 45°
• The car closest to the tower is = ?

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• There are two approaches to this question. First one involves some visualisation and second one is pure mathematics.

Approach 1 :

• We know that 45° is a more steeper angle than 30° so for them to have the same height the car with a steeper angle has to be closer

Hence car B is closer to the tower

Approach 2 :

• Refer Diagram

In ∆PQB

⇒ tan 45 = PQ/QB

⇒ QB = h

In ∆PQA

⇒ tan 30 = PQ/QA

⇒ QA = √3 h

• Clearly √3h is a greater distance than h

Therefore the correct response to the question is Option B