Question

a Man observes a car from the top of a tower which is moving towards the tower with a uniform speed if the angle of depression of the car changes from 30 to 45 in 12 minutes. find the time taken by the car now to reach the tower

Answer 1

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Answer 2

Answer:

From 45 degree angle of depression, time is 6 (√3 + 1) minutes.

Step-by-step explanation:

Angle of depression of the car changes = 30 to 45°

Time in changing the angle depression = 12 minutes

tan 45° = p/x = 1

p = x.............i

tan 30° = p/ x+12  = 1/√3

√3 p = x + 12

√3 x - x = 12

x (√3 - 1) = 12

x = 12/(√3 - 1)

x = 12 (√3 + 1)/ (3-1)

x = 12(√3 + 1)/2 = 6 (√3 + 1) minutes

From 45 degree angle of depression, time is 6 (√3 + 1) minutes.