Question

nich
A straight highway leads to the foot of the tower, a
man standing at the top of the tower, observes a
car at an angle of depression of 30°, which is
approaching the foot of the tower with uniform
speed. Six seconds later, the angle of depression of
the car is found to be 60°. Find the time taken by
car to reach the foot of the tower from this point.
(HOTS)
of a
if
vel
6. TRIGO​

Answer 1

Hey mate

here is your answer

let the distance travelled in 6 seconds be 6v metres = AB.

distance travelled to reach the foot of tower = BP = vt metres. ( as time is not known)

AP = AB + BP = 6v + vt

let PQ be height of the tower ( h).

tan 30 = 1/√3 = h/(6v + vt)

6v+ vt = √3h. ...... I

tan 60 = √3 = h/ vt

√3vt = h............ ii

put ii in I

√3(√3vt) = 6v + vt

3vt = 6v + vt

2vt = 6v

t = 3 sec.

hope it helps you...

plzz mark as brainliest answer