Problem: A child crawls 20 feet towards north, turns right, crawls 35 feet, turns left, crawls 15 feet, and turns left again, crawls 15 feet. How far is the child from the starting point and in which direction?

Solution:
To solve this problem, we need to draw a diagram to visualize the movement of the child.

Diagram:

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15 ft | |
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15 ft

The child starts from point A and moves:

1. 20 feet towards the north to reach point B
2. Turns right and walks 35 feet towards the east to reach point C
3. Turns left and walks 15 feet towards the north to reach point D
4. Turns left again and walks 15 feet towards the west to reach point E

Calculations:
To find out how far the child is from the starting point and in which direction, we need to calculate the distance between point A and point E using the Pythagorean theorem.

From the diagram, we can see that the distance between point A and point E is the hypotenuse of a right-angled triangle with sides of 20 feet and 50 feet (35 feet + 15 feet).

Using the Pythagorean theorem, we get:

Hypotenuse² = Base² + Perpendicular²
Hypotenuse² = 20² + 50²
Hypotenuse² = 2500
Hypotenuse = √2500
Hypotenuse = 50 feet

Therefore, the child is 50 feet away from the starting point in a west-northwest direction.

Conclusion:
The child is 50 feet away from the starting point in a west-northwest direction.

He is in North direction