what are the horizontal components and vertical components of a cat's displacement when its climbing 5m directly up a tree.

I don't know how to find the x and the hypotnuse of a right triangle when theres is no angle theta given. please help me.

Isn't directly up just y, no x movement?

To find the horizontal and vertical components of a cat's displacement while climbing a tree, you can make use of the concept of right triangles. Let's break it down step by step:

1. Start by visualizing the scenario. The cat is climbing 5 meters directly up the tree, which means we have a right triangle with the vertical displacement as the height of the triangle (5 meters) and the hypotenuse as the displacement of the cat.

2. In a right triangle, the horizontal component is the side adjacent to the angle and the vertical component is the side opposite to the angle. In this case, since the cat is climbing directly up the tree, the angle between the horizontal and hypotenuse is 90 degrees, and the adjacent side is the horizontal component.

3. Since the angle is 90 degrees, you don't need to find the angle itself. The horizontal component, which is also known as the adjacent side, is equal to the hypotenuse because they are both sides of the right angle. Thus, the horizontal component is also 5 meters.

4. To find the hypotenuse, you can use the Pythagorean theorem. The theorem states that the square of the hypotenuse is equal to the sum of the squares of the other two sides. In this case, the hypotenuse is the displacement that the cat climbs, the vertical side is 5 meters, and the horizontal side is also 5 meters. So the equation would be: hypotenuse^2 = 5^2 + 5^2.

5. Solving the equation, hypotenuse^2 = 25 + 25 = 50. Taking the square root of both sides, you find that the hypotenuse is √50 or approximately 7.07 meters.

To summarize, the horizontal component of the cat's displacement while climbing 5 meters directly up the tree is 5 meters, and the vertical component is also 5 meters. The hypotenuse, which represents the displacement of the cat, is approximately 7.07 meters.