From a point a that is 8.20 m above level ground, the angle of elevation of the top of a building s 31 deg 20 min and the angle of depression of the base of the building is 12 deg 50min. find the height of the building.

30.11 meters ( approx )

Step-by-step explanation:

Let x be the distance of a point P ( lies on the building ) from the top of the building such that AP is perpendicular to the building and y be the distance of the building from point A, ( shown in the below diagram )

Given,

Point A is 8.20 m above level ground,

So, the height of the building = ( x + 8.20 ) meters,

Now, 1 degree = 60 minutes,

⇒

By the below diagram,

Now, again by the below diagram,

Hence, the height of the building = x + 8.20 = 30.11 meters (approx)

i just took the test, the correct answer is .. 31.5 in.