A gust of wind snaps a bamboo pole in a garden in Assam. The upper part bends over without separating and its tip touches the ground 6 m from the foot of the pole, making an angle of 45° with the ground. Find the exact total height (in m) of the bamboo pole before it broke.

Question

Accepted Answer

6 + 6 √2. Standing part: tan 45 = stump/6 => stump = 6 m. Broken part (the hypotenuse): cos 45 = 6/L => L = 6 √2 m. Original height = stump + broken part = 6 + 6 √2 m (about 14.49 m).

A gust of wind snaps a bamboo pole in a garden in Assam.
The upper part bends over without separating and its tip touches the ground 6 m from the foot of the pole, making an angle of 45° with the ground.
Find the exact total height (in m) of the bamboo pole before it broke.

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Heights and Distances practice

A gust of wind snaps a bamboo pole in a garden in Assam.The upper part bends over without separating and its tip touches the ground 6 m from the foot of the pole, making an angle of 45° with the ground.Find the exact total height (in m) of the bamboo pole before it broke.

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Heights and Distances practice

A gust of wind snaps a bamboo pole in a garden in Assam.
The upper part bends over without separating and its tip touches the ground 6 m from the foot of the pole, making an angle of 45° with the ground.
Find the exact total height (in m) of the bamboo pole before it broke.