A platform and building are on thesame plane. The of angle of depression of the bottom(c) of the building from the top(a) of the platform is 39degree. The angle of elevation of the top(o)of the building from the top of the platform is 56. Given that the distance between the foot of the platform and that of the building is 10meters, calculate the height of the building to the nearest whole number

1 answer

It is hard to decipher your wording but I will try.
Let a parallel line from the top of the platform meet the height of the building at C
Label the top of the building A, and its bottom as B
tan56° = AC/10 --> AC = 10tan56
tan39° = BC/10 --> BC = 10tan39

height of building
= AC + BC
= 10tan56 + 10tan39
= ...