Question

The vertical tower stands on a horizontal plane and it is sourrounded by a vertical flag staff of height 5m fr the point on the plane the angle of evevation of the bottom and 5he top of the flag staff are 30 60 find the ht of the tower

Answer 1

${\bold{\green{\huge{Your\:Answer}}}}$

2.5 m

step-by-step explanation:

From the fgure attached,

we see that,

h = x tan 30° .............(i)

and,

h + 5 = x tan 60° .............(ii)

Now,

subtracting eqn (i) from eqn (i),

we get,

5 = x ( tan 60° - tan 30° )

=> 5 = x ( 1.732 - 0.577)

=> 5 = 1.154x

=> x = 5/1.154

=> 5 = 4.33

now,

from the figure,

h = x tan 30°

=> h = 4.33 ×0.577

=> h = 2.5

Hence,

height of tower = 2.5 m

Answer 2

... ✌Your answer is above✌...