P rsquo s height is 5 ft and the length of his shadow is 7ft long He measured the shadow of his scho...........

Quantitative Aptitiude (CLAT) MCQ practise

P’s height is 5 ft and the length of his shadow is 7ft long. He measured the shadow of his school’s building to be 42 ft. find the height of the building.

50ft

36ft

30ft

32ft

Explanation:

We can consider the angle of elevation as ??
Tan ?? = opposite side / adjacent side
Opposite side = height of the person, adjacent side = length of his shadow. =5/7
Similarly for school,
Tan ?? = Opposite side / adjacent side
Opposite side = Height of the school
Adjacent side = length of the shadow of the school
Tan ?? = x / 42
5 / 7 = x / 42
X = 30 ft