Question

A straight highway leads to the foot of a tower. A man standing at the top of the tower observes a car at an angle of depression of 30 degree, which

Answer 1

$\red{A}\pink{N}\orange{S}\green{W}\blue{E}\gray{R}$

let h be height of tower and x and y are distance of two point from tower

now time taken to cover y distance = 6 sec [Given]

we have tan 30° = h and tan 60° = h

____ ___

x+y x

x+y = √3h ; x=h

___

√3

[y = 2h = 2x]

____

√3

if speed is uniform then;

speed to cover `x' = speed to cover (x+y) [y = 2x]

x x+y

___ = ____

t 6+t

6+t = 3t

[t = 3 sec]

$\red{H}\pink{E}{N}\green{C}\blue{E}$

time to cover x distance is 3 sec.

Answer 2

Answer:

let h be height of tower and x and y are distance of two point from tower

now time taken to cover y distance = 6 sec [Given]

we have tan 30° = h and tan 60° = h

____ ___

x+y x

x+y = √3h ; x=h

___

√3

[y = 2h = 2x]

____

√3

if speed is uniform then;

speed to cover `x' = speed to cover (x+y) [y = 2x]

x x+y

___ = ____

t 6+t

6+t = 3t

[t = 3 sec]

\red{H}\pink{E}{N}\green{C}\blue{E}HENCE

time to cover x distance is 3 sec.