It seems like you've uploaded an image containing a math problem, but the image itself is not visible in your message. However, based on the text you provided, I can infer that the problem involves geometry and trigonometry. Let me break it down and solve it step by step.
---
Problem Statement (Inferred from Text):
A ladder leans against a wall, forming a right triangle with the ground. The base of the ladder is 3 meters away from the wall, and the top of the ladder reaches 4 meters up the wall. Find the length of the ladder.
---
Solution:
1.
Identify the given information:
- The base of the ladder (distance from the wall to the foot of the ladder) = 3 meters.
- The height of the ladder (distance from the ground to the top of the ladder) = 4 meters.
- The ladder forms the hypotenuse of a right triangle.
2.
Visualize the problem:
- The ladder, the wall, and the ground form a right triangle.
- The base of the triangle is 3 meters.
- The height of the triangle is 4 meters.
- We need to find the hypotenuse, which represents the length of the ladder.
3.
Use the Pythagorean theorem:
The Pythagorean theorem states:
\[
\text{Hypotenuse}^2 = \text{Base}^2 + \text{Height}^2
\]
Here:
- Base = 3 meters
- Height = 4 meters
Substituting the values:
\[
\text{Hypotenuse}^2 = 3^2 + 4^2
\]
\[
\text{Hypotenuse}^2 = 9 + 16
\]
\[
\text{Hypotenuse}^2 = 25
\]
4.
Solve for the hypotenuse:
\[
\text{Hypotenuse} = \sqrt{25}
\]
\[
\text{Hypotenuse} = 5
\]
5.
Conclusion:
The length of the ladder is 5 meters.
---
Final Answer:
\[
\boxed{5}
\]
If there are additional details or a different problem in the image, please provide more context or clarify, and I'll be happy to assist further!
Parent Tip: Review the logic above to help your child master the concept of pythagorean theorem word problem worksheet.
