Question

An observer 1.5 m tall is 28.5 m away from a chimney. The angle of elevation of the top of the chimney from her eyes is 45°.

Answer 1

(I don't know whether you wanted the height of the chimney or not, but if you wanted the height of the chimney here is the answer)

Answer:

The chimney is 30 m tall

Step-by-step explanation:

Height of observer = 1.5 m ---------(1)

Height of chimney = height of observer + height of chimney from eye level of observer (lets take this as 'x')  

Distance between chimney and the observer = 28.5 m

Tan 45 = x/ distance between chimney and observer

tan 45 = 1

therefore, 'x' = distance between chimney and observer = 28.5 m -----(2)

From (1) + (2)

1.5 + 28.5 = Height of chimney

30 m = height of chimney