A dry open well in a Rajasthan village is 6 m deep and has vertical sides. A boy standing at the edge looks at a coin lying at the bottom against the opposite wall, and the angle of depression of the coin from his eyes at the top edge is 60°. Find the exact width (in m) of the well.

Question

Accepted Answer

2 √3. tan 60 = depth/width = 6/w => w = 6√3 = 2 √3 m (about 3.46 m). Multiplying by √3 instead of dividing gives the wrong value 6 √3 m.

A dry open well in a Rajasthan village is 6 m deep and has vertical sides.
A boy standing at the edge looks at a coin lying at the bottom against the opposite wall, and the angle of depression of the coin from his eyes at the top edge is 60°.
Find the exact width (in m) of the well.

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Heights and Distances practice

A dry open well in a Rajasthan village is 6 m deep and has vertical sides.A boy standing at the edge looks at a coin lying at the bottom against the opposite wall, and the angle of depression of the coin from his eyes at the top edge is 60°.Find the exact width (in m) of the well.

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Heights and Distances practice

A dry open well in a Rajasthan village is 6 m deep and has vertical sides.
A boy standing at the edge looks at a coin lying at the bottom against the opposite wall, and the angle of depression of the coin from his eyes at the top edge is 60°.
Find the exact width (in m) of the well.