A baby crawls 12 feet towards west and then crawls 3 feet towards south. He then turns towards east and crawls 8 feet. How far is he from his starting point? Options 4 feet 8 feet 5 feet 9 feet
Question
A baby crawls 12 feet towards west and then crawls 3 feet towards south. He then turns towards east and crawls 8 feet. How far is he from his starting point? Options
4 feet
8 feet
5 feet
9 feet
Solution
The baby initially crawls 12 feet west, then 3 feet south, and finally 8 feet east.
To find the total distance east or west, subtract the distance the baby crawled east from the distance he crawled west. That is, 12 feet (west) - 8 feet (east) = 4 feet (west).
The baby is therefore 4 feet west and 3 feet south of his starting point.
To find the total distance from the starting point, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
In this case, the two sides are 4 feet (west) and 3 feet (south), and we're trying to find the hypotenuse (the straight-line distance from the starting point).
So, we calculate as follows:
(4 feet)^2 + (3 feet)^2 = 16 square feet + 9 square feet = 25 square feet
The square root of 25 square feet is 5 feet.
So, the baby is 5 feet from his starting point.
Therefore, the correct answer is 5 feet.
Similar Questions
A baby crawls 12feet towards East and then 4feet towards South. He then crawls 9feet towards West. How far is he from his initial position? Question Description : 4 feet3 feet7 feet5 feet
Ram walks 2 km to the East, then he turns to South and walks 6 km. He again turns to East and walks 2 km, then he turns to North and walks12 km. How far is he from the starting point?
A Boy walks 12kms towards east. He turns 90° clockwise and walks 20kms then he turned right and walked for 33kms. How far is he from starting point?Question 20Answera.29b.30c.27d.28
A person goes 5km east then turns right and goes 8km. The turns left and goes 5km, finally he turns to left and goes 8km. How far and in which direction is he from the starting point ?12 km east10 km west15 km north10 km east
A man travels 10 kms towards north-east and then travels 8 kms towards south. How far is he from his starting point?Options 12 kms 18 kms 2 kms 6 kms
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.