A storm in Kolkata snaps a coconut palm. The broken upper part bends over without separating, and its tip touches the ground 5 m from the foot of the palm, making an angle of 60° with the ground. Find the exact height (in m) of the part of the palm that is still standing upright.

Question

Accepted Answer

5 √3. The standing stump is opposite the 60° angle: tan 60 = stump/5 => stump = 5 √3 m (about 8.66 m). The bent part is the hypotenuse, 5/cos 60 = 10 m, which is a different length.

A storm in Kolkata snaps a coconut palm.
The broken upper part bends over without separating, and its tip touches the ground 5 m from the foot of the palm, making an angle of 60° with the ground.
Find the exact height (in m) of the part of the palm that is still standing upright.

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Heights and Distances practice

A storm in Kolkata snaps a coconut palm.The broken upper part bends over without separating, and its tip touches the ground 5 m from the foot of the palm, making an angle of 60° with the ground.Find the exact height (in m) of the part of the palm that is still standing upright.

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Heights and Distances practice

A storm in Kolkata snaps a coconut palm.
The broken upper part bends over without separating, and its tip touches the ground 5 m from the foot of the palm, making an angle of 60° with the ground.
Find the exact height (in m) of the part of the palm that is still standing upright.