Make a program to compute the ladder length.
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C
![(See Fig. 5.1) A student is trapped in a room of a burning building. How long should a
ladder be in order for a fireman to reach him through the window located at the 4th floor?
The window is 8 ft high and the ladder's base must be 6 ft from the edge of the building
since there is an obstruction. Make a program to compute the ladder length.
Hint: Use pow(x,y) and sqrt(x) functions to apply Pythagorean's Theorem of Fig. 5.2
Hypotenuse (H)
8 ft
Opposite (O)
Angle
90
Adiacent (A)
6 ft
Fig. 5.1 Ladder
Fig. 5.2 Pythagorean Theorem: H² = A? + O?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1e174fcb-906b-4a3e-889e-5e0aa9706684%2Fd50ee647-3ba2-4f8f-a161-c50214e77a72%2Ff39qamp_processed.png&w=3840&q=75)
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- C program of When the direction of the sun makes an angle of 35.2° with the horizontal, an oil derrick casts a shadow of 150 ft. How high the derrick is?Phyton The surface of the Earth is curved, and the distance between degrees of longitude varies with latitude. As a result, finding the distance between two points on the surface of the Earth is more complicated than simply using the Pythagorean theorem. Let (t1, g1) and (t2, g2) be the latitude and longitude of two points on the Earth’s surface. The distance between these points, following the surface of the Earth, in kilometers is: distance = 6371.01 × arccos(sin(t1) × sin(t2) + cos(t1) × cos(t2) × cos(g1 − g2)) The value 6371.01 in the previous equation wasn’t selected at random. It is the average radius of the Earth in kilometers. Create a program that allows the user to enter the latitude and longitude of two points on the Earth in degrees. Your program should display the distance between the points, following the surface of the earth, in kilometers. Hint: Python’s trigonometric functions operate in radians. As a result, you will need to convert the user’s input from degrees to…1. Derive the modified distance formula if we want the projectile lands on a hill that has a height of h(x) (the function x increases monotonically), at a distance R. Write F(x) whose roots must be found in order to find the angle initial, given the initial velocity V0. (With python 3)
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- (Learning Objective: students will be able to apply their knowledge of the built-in random package to generate simulations of simple phenomena.) Write a function: • dicesim(D1,D2,trials) that takes as input the number of sides on die 1 (D1) and die2 (D2) and the number of trials. Your function should repeatedly sum pairs of random numbers between 1 and D1 and 1 and D2 and keep track of how many times each sum occurs. The function returns a numpy array with the fraction each sum of rolls occured. Since the numbers are chosen at random, the fractions will differ some from run to run. One run of the function print(p22.dicesim(6,6,10000)) resulted in: [0. 0. 0.0259 0.0615 0.0791 0.1086 0.139 0.1633 0.1385 0.114 0.0833 0.0587 0.0281] or displayed using the code from Section 16.1.1.: PMF of X Note: you should submit a file with only the standard comments at the top and the function. The grading scripts will then import the file for testing.Consider the quadratic equation: . Given a, b and c as input, determine whether the roots of this equation are real or not. If the roots are imaginary, print “IMAGINARY” (without the quotes) and if the roots are real, print “REAL” as well as the 2 roots in the next line separated by space (smaller root first). Assume that if the roots are real, the roots would be integer only.Matlab A rocket is launched vertically and at t-0, the rocket's engine shuts down. At that time, the rocket has reached an altitude of ho- 500 m and is rising at a velocity of to 125 m/s. Gravity then takes over. The height of the rocket as a function of time is: h(t)-ho+vot-gt², t20 where g -9.81 m/s². The time t-0 marks the time the engine shuts off. After this time, the rocket continues to rise and reaches a maximum height of Amax meters at time t = tmax. Then, it begins to drop and reaches the ground at time t = tg. a. Create a vector for times from 0 to 30 seconds using an increment of 2 s. b. Use a for loop to compute h(t) for the time vector created in Part (a). e. Create a plot of the height versus time for the vectors defined in Part (a) and (b). Mark the and y axes of the plot using appropriate labels. d. Noting that the rocket reaches a maximum height, max, when the height function, h(t), attains a maxima, compute the time at which this occurs, max, and the maximum height,…
- : Practical questiod 1. Write a C program for Arduino thar controls a set of two traffic lights A & B at a crossmadk. Assume that: When the traffic lighus (A) are green or amber, the traffic lights (B) are red. • When the traffic lights (B) are green or amber, the raffic lights (A) are red. Green lights must stay on for 15 seconds, amber lights for 5 seconds and red lights for 20 seconds. 2. Sketch the circuit diagram to wire the Arduina to the two traffic lights. O COr cone COn cone O csea csas ca R/W? RIW /N RIN N bits TOVO Mode ТОР OCRO COne 2:0 Set bits HGO Under Fast PWM 00 Normal immediate 00 K11 Normal operation, ocer disconnected 001 Phase Correct PWM on TOP OXFF Normal operation, OCcBA disconnected, 01 011 Clear Timer n Compee match ICTO 010 OCROA immediate aFF Ocen reserved OCBA toggles on Compare match, 011 Fast PWM exFF 01 111 ocon reserved 100 Reserved Clear OCex on Compare Match, Set OCex at ex0. inon-inverting mode) 10 101 Phase Correct PWM OCROA on TOP exee 110 Reserved…Q1) Write a computer program that uses Newton's method to find the root of a given function, and apply this program to find the root of the following functions, using co as given. Stop the iteration when the error as estimated by n+1 - Enl is less than 10-6. Compare to your results for bisection. (a) f(x) = 1-2xe-/2, xo = 0; (b) f(x)=5-x-¹, x = ¹; (c) f(x)= x³ - 2x - 5, xo = 2; (d) f(x)=e-2, xo = 1; (e) f(x)=x-e, xo = 1; (f) f(x)=x-x-1, xo = 1; (g) f(x)=x²-sinx, xo =/; (h) f(x)= x³-2,0 = 1; (i) f(x) = x + tan x, zo = 3; (j) f(x)=2x-¹ In x, xo = 3.PYTHON (Uee While Loop) only Write a python program that calculates the populations of foxes and rabbits who live within a certain area of land, as that number changes from year to year. It will take the initial populations as inputs, and then proceed to calculate the year-by-year changes. The following is derived from the “Lotka-Volterra equations”, which you may look up if you desire. Essentially, we will model the foxes and rabbits with 4 constants, and 2 data structures of year-by-year values. They are defined as follows: r[y] # of rabbits in year y f[y] # of foxes in year y α or alpha - birth rate of rabbits β or beta - death rate of rabbits, dependent on # of foxes γ or gamma - birth rate of foxes, dependent on # of rabbits δ or delta - death rate of foxes, caused naturally The formulas we will use are: r[y]=r[y−1]+(r[y−1]×α)−(r[y−1]×f[y−1]×β)r[y]=r[y−1]+(r[y−1]×α)−(r[y−1]×f[y−1]×β) f[y]=f[y−1]+(f[y−1]×r[y−1]×γ)−(f[y−1]×δ)f[y]=f[y−1]+(f[y−1]×r[y−1]×γ)−(f[y−1]×δ) However,…
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