A painter in Nagpur leans a straight ladder 12 m long against a vertical wall. The ladder makes an angle of 60° with the level ground. Find the exact height (in m) up the wall reached by the top of the ladder, leaving √3 in the answer.

Question

Accepted Answer

6 √3. The ladder is the hypotenuse, so sin 60 = h/12 => √32 = h/12 => h = 6 √3 m (about 10.39 m). Using cos 60 gives 6 m, which is the distance of the foot from the wall, not the height reached.

A painter in Nagpur leans a straight ladder 12 m long against a vertical wall.
The ladder makes an angle of 60° with the level ground.
Find the exact height (in m) up the wall reached by the top of the ladder, leaving $3$ in the answer.

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Heights and Distances practice

A painter in Nagpur leans a straight ladder 12 m long against a vertical wall.The ladder makes an angle of 60° with the level ground.Find the exact height (in m) up the wall reached by the top of the ladder, leaving 3​ in the answer.

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Heights and Distances practice

A painter in Nagpur leans a straight ladder 12 m long against a vertical wall.
The ladder makes an angle of 60° with the level ground.
Find the exact height (in m) up the wall reached by the top of the ladder, leaving $3$ in the answer.