An engineer whose eyes are 1.5 m above the ground stands on level ground 30 √3 m from the foot of a factory chimney in Kanpur. The angle of elevation of the top of the chimney from her eyes is 30°. Find the exact height of the chimney above the ground (in m).

Question

Accepted Answer

31.5. Above eye level: tan 30 = x30 √3 => x = 30 √3√3 = 30 m. Adding the eye height, the chimney = 30 + 1.5 = 31.5 m. Answer 30 m forgets the observer, and 51.96 m comes from multiplying by √3 instead of dividing.

An engineer whose eyes are 1.5 m above the ground stands on level ground 30 $3$ m from the foot of a factory chimney in Kanpur.
The angle of elevation of the top of the chimney from her eyes is 30°.
Find the exact height of the chimney above the ground (in m).

Step-by-Step Solution

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More Class 10 Heights and Distances practice

An engineer whose eyes are 1.5 m above the ground stands on level ground 30 3​ m from the foot of a factory chimney in Kanpur.The angle of elevation of the top of the chimney from her eyes is 30°.Find the exact height of the chimney above the ground (in m).

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Heights and Distances practice

An engineer whose eyes are 1.5 m above the ground stands on level ground 30 $3$ m from the foot of a factory chimney in Kanpur.
The angle of elevation of the top of the chimney from her eyes is 30°.
Find the exact height of the chimney above the ground (in m).