JEE PYQ: Heights And Distances Question 3
Question 3 - 2021 (24 Feb Shift 2)
The angle of elevation of a jet plane from a point A on the ground is $60°$. After a flight of 20 seconds at the speed of 432 km/hour, the angle of elevation changes to $30°$. If the jet plane is flying at a constant height, then its height is:
(1) $1200\sqrt{3}$ m (2) $1800\sqrt{3}$ m (3) $3600\sqrt{3}$ m (4) $2400\sqrt{3}$ m
Show Answer
Answer: (1) $1200\sqrt{3}$ m
Solution
Distance $= 120 \times 20 = 2400$ m. Solving: $h = 1200\sqrt{3}$ m.