Question

Question #e0dab

Answer 1

the angle of elevation is `A=45^@`

Explanation:

Let The point of observation be `A`
Let The foot of a towet be `B`
Let The top of the tower be `C`
Let The angle of elevation be `A`

`ABC` forms a right angled triangle, with

`AB` as adjacent side
`BC` as opposite side

From trigonometry, we know that

`tanA=(AB)/(BC)`

Given that `AB=BC`

`tanA=1`

Further,
`tan 45^@=1`

Thus,
the angle of elevation is `A=45^@`

Answer 2

`color(green)(45^@`

Explanation:

Since distance of observation and height of tower same,

`AB = AC`, also `hatC = 90^@`

`:. hatB = hatC = (180-90)/2 = 45^@` each.