Question

find the height of a flag pole if the angle of elevation of its top changes from 30 to 45 degrees as the observer advances 10 ft. towards the base

Answer 1

Let height be h
Then distance from pole=h/tan30 =h√3. (Tan30=1/√3)
Again
Angle is 45
Than distance =h/tan45 =h. (Tan45=1)
Now
According to question
h√3-h=10. Solve for h now.

Answer 2

Make diagram for more illustration
Remember tanx=perpendicular/base
So. Length of base=perpendicular/tanx

Answer 3

why did you use \[\sqrt{3}\] ?

Answer 4

@Pawanyadav

Answer 5

tan30. is what ?

Answer 6

\[\sqrt{3}/3\]

Answer 7

We can write it 1/√3

Answer 8

oh i see thank you :)

Answer 9

As 3=√3×√3
Canceling one √3
we get √3/3=1/√3