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NIMCET 2025 — Mathematics PYQ

NIMCET | Mathematics | 2025

An airplane, when $4000$ m high from the ground, passes vertically above another airplane at an instant when the angles of elevation of the two airplanes from the same point on the ground are $60^\circ$ and $30^\circ$ , respectively. Find the vertical distance between the two airplanes.

NIMCET 2025 — Mathematics PYQ

Choose the correct answer:

Explanation

Solution

Step 1: In $\triangle APC$ (Higher Plane)

Step 2: In $\triangle BPC$ (Lower Plane)

Step 3: Solve for $h$

Step 4: Vertical Distance ( $AB$ )