A superhero flies 235 m from the top of a
tall building at an angle of 25 ◦ below the
horizontal.
What is the horizontal component of the
superhero’s displacement? Draw the vectors
to scale on a graph to determine the answer.
Answer in units of m. Your answer must
be within ± 5.0%
Horizontal=235*cos25deg
Well, I hope this superhero isn't afraid of heights!
To find the horizontal component of the superhero's displacement, we can use some trigonometry.
The superhero is flying at an angle of 25 degrees below the horizontal. We can call this angle theta (θ).
The horizontal component of the displacement is given by:
Horizontal component = displacement * cos(θ)
Since the displacement is given as 235 m, we can substitute it in:
Horizontal component = 235 m * cos(25 degrees)
Using a bit of math magic, we find that the horizontal component is approximately 213.849 m.
So the horizontal component of the superhero's displacement is approximately 213.849 m.
Now, I wish you good luck drawing those vectors to scale on a graph. Just make sure to label your axes and maybe throw in a little superhero cape for flair!
To find the horizontal component of the superhero's displacement, we need to find the projection of the displacement vector onto the horizontal axis.
Using trigonometry, we can determine the horizontal component by taking the cosine of the angle. The formula for the horizontal component is:
horizontal component = magnitude of displacement * cos(angle)
Given:
magnitude of displacement = 235 m
angle = 25 degrees
Let's calculate the horizontal component:
horizontal component = 235 * cos(25)
horizontal component ≈ 212.477 m
Therefore, the horizontal component of the superhero's displacement is approximately 212.477 m.
To find the horizontal component of the superhero's displacement, we need to use trigonometry. We can start by drawing the vector representing the superhero's displacement from the top of the building at an angle of 25 degrees below the horizontal.
Next, we can break down this vector into its horizontal and vertical components. The horizontal component represents the displacement in the x-direction, while the vertical component represents the displacement in the y-direction.
To determine the value of the horizontal component, we need to find the adjacent side length of the angle. We know the hypotenuse of the triangle represents the total displacement, which is given as 235 m.
Using the cosine function, we can calculate the horizontal component:
cos(theta) = adjacent / hypotenuse
cos(25 degrees) = adjacent / 235 m
To find the horizontal component, we rearrange the formula:
adjacent = cos(25 degrees) * 235 m
Calculating this expression, we find that the horizontal component of the superhero's displacement is approximately 212.29 m.
Therefore, the horizontal component of the superhero's displacement is approximately 212.29 m.