Knowee
Questions
Features
Study Tools

Siddharth started to walk towards the South-East on a road and stopped after moving 26m. Now he turned left-hand side and moved 16 m. How much minimum distance he has to cover to reach his starting point?

Question

Siddharth started to walk towards the South-East on a road and stopped after moving 26m. Now he turned left-hand side and moved 16 m. How much minimum distance he has to cover to reach his starting point?

🧐 Not the exact question you are looking for?Go ask a question

Solution

To solve this problem, we can use the Pythagorean theorem because the path Siddharth has taken forms a right triangle.

Step 1: Identify the sides of the triangle. The first distance he walked, 26m, is one side of the triangle. After turning left, the 16m he walked is the other side of the triangle.

Step 2: Apply the Pythagorean theorem, which is a² + b² = c². Here, a and b are the two sides of the right triangle (26m and 16m), and c is the hypotenuse, which is the direct distance from his current position to the starting point.

Step 3: Substitute the given values into the formula: (26m)² + (16m)² = c².

Step 4: Calculate the squares: 676m² + 256m² = c², which simplifies to 932m² = c².

Step 5: Solve for c, which is the square root of 932m². c = √932m ≈ 30.53m.

So, Siddharth has to cover a minimum distance of approximately 30.53m to reach his starting point.

This problem has been solved

Similar Questions

Raj walked 20 metres towards South. Then he turned to his left and walked 25 metres. He then turned to his left and walked 20 metres. He again turned to his right and walked 10 metres. At what distance is he from the starting and in which direction?

From A, Radhika travels 8 km towards north. Then she takes a turn and travels 8 km towards east. Again, she turns right and travels 16 km to reach B. In which direction must Radhika travel from B to reach A, so that the distance would be minimum?

Rita drives to the North of her place of stay at A and after travelling 25 km finds that she has driven in the wrong directions. She then turns to her right and travels 2 km and then she again turns to the right and drives straight another 25 km. How much distance has she now to cover to go back to the starting point?Options25 km4 km40 km2 km

Anshul moves towards East a distance of 5 m, then he turns to his left and walks 20 metres, then againhe turns left and walks 15 meters. Now he turns 45° towards his right and goes straight to cover20 2 m meters. How far is he from his starting point ?(1) 40 m (2) 30 m(3) 50 m (4) 55 m

Ravi walked 2 km towards the South, took a right turn and walked 3 km. Then he took a left turn and walked 2 km. At what distance is he now from the starting point?Options2 km6 km4 km5 km

1/3

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.