A vertical tent pole 3 m high at a desert camp in Kutch is steadied by four straight ropes, each running from the top of the pole to a peg in the level ground and each making an angle of 45° with the ground. Find the exact total length of rope (in m) needed for all four ropes.

Question

Accepted Answer

12 √2. One rope is the hypotenuse: sin 45 = 3/L => 1√2 = 3/L => L = 3 √2 m. Four ropes = 4 x 3 √2 = 12 √2 m (about 16.97 m). The answer 12 m would need each rope to be only as long as the pole is high.

A vertical tent pole 3 m high at a desert camp in Kutch is steadied by four straight ropes, each running from the top of the pole to a peg in the level ground and each making an angle of 45° with the ground.
Find the exact total length of rope (in m) needed for all four ropes.

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Heights and Distances practice

A vertical tent pole 3 m high at a desert camp in Kutch is steadied by four straight ropes, each running from the top of the pole to a peg in the level ground and each making an angle of 45° with the ground.Find the exact total length of rope (in m) needed for all four ropes.

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Heights and Distances practice

A vertical tent pole 3 m high at a desert camp in Kutch is steadied by four straight ropes, each running from the top of the pole to a peg in the level ground and each making an angle of 45° with the ground.
Find the exact total length of rope (in m) needed for all four ropes.