Question

The vertical flagstaff stand on a horizontal plane from a point distance 150m from its foot the angle of evolution of its top is found to be 30 degree find the height of the flagstaff

Answer 1

Let the height of flag be x.

Θ=30°

so, in order to find height we can use tanΘ

       =>  tan30°=x/150

       =>  1/√3   =x/150

        =>     x    = 150/√3

                       = 1.73 m (approx)

Answer 2

Answer:

86.6m (approx.)

Step-by-step explanation:

(You can see the diagram above in the picture)

Let,

B be the point 150m away from the foot of the flagstaff,

AC be the length/height of the flagstaff,

BC will be the distance of point B from the foot of the flagstaff.

And angle ABC be the angle of elevation.

Then,

tan30°= AB/BC

=> 1/√3= AB/150

=> 150√3/3= AB {on transposing and rationalizing 150/√3}

=> AB= 50√3m

Hence, the height of the flagstaff

= 50✓3m

= (50×1.732

= 86.6m