A surveyor in Hyderabad stands on level ground 20 m from the foot of a new apartment block and measures the angle of elevation of its top as 60°. If each storey of the block is 3.5 m high, about how many storeys does the block have? (Take √3 = 1.732.)

Question

Accepted Answer

about 10 storeys. tan 60 = h/20 => h = 20 √3 = 34.64 m. Number of storeys = 34.64/3.5 = 9.9, that is about 10 storeys. Dividing by √3 instead of multiplying gives 11.55 m, only about 3 storeys.

A surveyor in Hyderabad stands on level ground 20 m from the foot of a new apartment block and measures the angle of elevation of its top as 60°.
If each storey of the block is 3.5 m high, about how many storeys does the block have? (Take $3 = 1.732.$ )

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More Class 10 Heights and Distances practice

A surveyor in Hyderabad stands on level ground 20 m from the foot of a new apartment block and measures the angle of elevation of its top as 60°.If each storey of the block is 3.5 m high, about how many storeys does the block have? (Take 3​=1.732.)

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Heights and Distances practice

A surveyor in Hyderabad stands on level ground 20 m from the foot of a new apartment block and measures the angle of elevation of its top as 60°.
If each storey of the block is 3.5 m high, about how many storeys does the block have? (Take $3 = 1.732.$ )