Explanation of Solution
The length of the image of the pole in the projection plane is:
The height of the pole is eight foot, the distance between the one end of the pole and the center of projection is four feet.
The given condition is shown in the figure below:
Explanation:
From the above figure, it is clear that the length of the image is the length between the points
In the given case the pole is parallel to the projection plane. So, from the properties of the similar triangle if all the three angle of any two triangle is same both the triangles are similar triangle, that is the triangle
From the properties of the similar triangle the corresponding sides are all in the same ratio.
Substitute
Trending nowThis is a popular solution!
Chapter 10 Solutions
Computer Science: An Overview (13th Edition) (What's New in Computer Science)
- A triangle ABC having coordinates A(5,5), B(10,3), C(7,10) is to be scaled two times in x direction and three times in y direction with respect to point A. Find the new coordinates of triangle A’B’C’.arrow_forwardConsider the following image of a sphere: Assuming a scene where the light intensities and reflection coefficients for ambient, diffuse, and specular are non-zero, which types of reflection are enabled for this scene? O a. Diffuse only O b. Ambient Only O c. Ambient and Diffuse O d. Ambient, Diffuse, and Specular O e. Diffuse and Speculararrow_forwardOne of the most important mathematical problems through all times has been to find the area of a polygon. For example, real estate areas often had the shape of polygons, and the tax was proportional to the area. Suppose we have some polygon with vertices ("corners") specified by the coordinates (x1,y1), (x2,y2), …, (xn,yn), numbered either in a clockwise or counter-clockwise fashion around the polygon. The area A of the polygon can amazingly be computed by just knowing the boundary coordinates: A=12|(x1y2+x2y3+⋯+xn−1yn+xny1)−(y1x2+y2x3+⋯+yn−1xn+ynx1)|.(17) Write a function polygon_area(x, y) that takes two coordinate lists with the vertices as arguments and returns the area. Test the function on a triangle, a quadrilateral, and a pentagon where you can calculate the area by alternative methods for comparison. Hint. Since Python lists and arrays has 0 as their first index, it is wise to rewrite the mathematical formula in terms of vertex coordinates numbered as x0,x1,…,xn−1 and…arrow_forward
- Question 17 The vanishing points with perspective projection O is only one point is the center of projection doesn't change location in the image if we move the imaging plane can be none in the imaging planearrow_forwardFind the equation of the parabola with focus (−4, 0) and directive x = 2arrow_forwardConsider a room with world coordinate system U-V-W as shown. Two cameras are mounted in the room, forming a stereo pair. The world coordinate origin is in one corner of the room, with UV-W axes shown. The "Left" camera Cl is located at world coordinates (10,1,3) and it's xl-yl-zl axes are oriented as shown. The "Right" camera Cr is located at world coordinates (7.1,2) and its xr-yr-zr axes are oriented as shown. Both cameras have a focal length of 1. U (1) What is the 3x4 matrix that maps 3D points in world coordinates into 2D points in film plane coordinates (when points are represented as homogeneous coordinates), for the left camera CI? (2) What is the 3x3 essential matrix for the two cameras, treating them as a stereo pair where Cl is the "left camera" and Cr is the "right" camera?arrow_forward
- Given two objects represented by the tuples (25, 5, 52, 14) and (10, 0, 36, 8):(a) Compute the Euclidean distance between the two objects.(b) Compute the Manhattan distance between the two objects.(c) Compute the Minkowski distance between the two objects, using q=3arrow_forward13 plarrow_forwardUse a computer and draw a hyperbolic orbit with the semimajor axis of a = 1.0 and the eccentricity of e = 1.3 when a focus is located at (x, y) = (-1, 0).arrow_forward
- The flight of a model rocket can be modeled as follows. During the first 0.15 s the rocket is propelled upward by the rocket engine with a force of 16 N. The rocket then flies up while slowing down under the force of gravity. After it reaches the apex, the rocket starts to fall back down. When its downward velocity reaches 20 m/s, a parachute opens (assumed to open instantly), and the rocket continues to drop at a constant speed of 20 m/s until it hits the ground. Write a program that calculates and plots the speed and altitude of the rocket as a function of time during the flight. SOLVE WITH MATLAB PLEASEarrow_forwardUnbelievable shapes can be created by using the implicit plotting capabilities of a computer algebra systems. Use a graphing calculator or graphing system to graph the curve: y(y-1)(y-2)=x(x-1)(x-2). Include an image or sketch of the resulting graph. 1. At how may points does this curve have horizontal tangent lines? Estimate the x-coordinates of these points. 2. Find the equations of the tangent lines at the points (0,1) and (0,2) 3. Find the exact x-coordinates of the point where the curve has horizontal tangent lines. 4. Create even more fanciful and unbelievable curves by modifying the equation or creating your own unique curve. Include the equation and a sketch or image of your graph.arrow_forwardThe two blocks of Figure 6.17 are attached to each other by a massless string that is wrapped around a frictionless pulley. When the bottom 4.00-kg block is pulled to the left by the constant force P, the top 2.00-kg block slides across it to the right. Find the magnitude of the force necessary to move the blocks at constant speed. Assume that the coefficient of kinetic friction between all surfaces is 0.400.arrow_forward
- C++ for Engineers and ScientistsComputer ScienceISBN:9781133187844Author:Bronson, Gary J.Publisher:Course Technology Ptr