Question

15. A tower and a building standing on the ground are 20 m apart. The height of
the tower is 2 times the height of the building. If at the mid-point of the line
joining their feet, the angular elevation of their tops are complementary, then
the height of the building is
​

Answer 1

Answer:

5√2 m.

Step-by-step explanation:

if the angles are complementary, then the product of their tangents = 1

tower height = T , Building height = B , T = 2B

tan ∝ tanβ = TB/100 = 1 , TB = 100 , 2B² = 100 , B² = 50 , B = √50

B = 5√2 m.