Question

A 16 metre pole casts a 10 meter long shadow. If at the same time of the day, a building casts a shadow of 25 metres, What is the height of the building ?

1)40 metres
2)45 metres
3)50 metres
4)55 metres
5)60 metres

Answer 1

In this X = Y
tan X = tan Y

tanX = 16/10. and. tanY = L/25
tanX = tanY
so, 16/10 = L/25
16/10*25 = L
8/5*25 = L
8*5 = L
40 = L
Hence, height of building is 40 metres
$40metres$