63. The base of the Great Pyramid at Giza is a square that is230 m on each side.(a) As illustrated in the accompanying figure, suppose thatan archaeologist standing at the center of a side mea-sures the angle of elevation of the apex to be = 51°with an error of ±0.5°. What can the archaeologistreasonably say about the height of the pyramid?(b) Use differentials to estimate the allowable error in theelevation angle that will ensure that the error in calcu-lating the height is at most ±5 m.& Figure Ex-63230 m

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Answered: 63. The base of the Great Pyramid at…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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One day a teacher took his class of sixth graders outside and challenged them to find the distance between two rocks that could easily be seen, one above the other, on the vertical face of a bluff near the school. After some discussion, the children decided to hold a rod in a vertical position at a point 104' from the base of the cliff, as shown in the accompanying figure. They also decided to mark the points on the rod where the lines of sight of a student standing 4' farther from the cliff and looking at the rocks cut the rod. If the marks on the rod were 25'' apart, what was the distance between the two rocks? (see photo)
1. A balloon is released from the ground 30 feet from an observer. The balloon rises directly upward at the rate of 15 feet per second. When the balloon is 50 feet from the observer, at what rate is the angle of elevation increasing? a. 0.5 rad/s O b. 0.18 rad/s O c. 0.13 rad/sec O d. 1.25x10-³ rad/sec Oe. None of the choices.
2. A cylindrical tank contains oil (use density as p in lb/ ft'). The radius of the tank is 3 feet, the length is 12 feet and oil enters and leaves the tank through an opening at the top. The tank is initially full of oil. Use the sketch below and complete each step below to find the work done in pumping all of the oil out of the opening at the top of the tank. You must use the axis provided. No calculators. (a) Find and expression for the volume of a single representative "slab" of oil that will move out of the tank. (b) Find the expression for the distance any single representative "slab" of oil must move to get out of the tank. (c) Find the expression for the force of a single representative "slab" of oil. (d) Set up (BUT DO NOT SOLVE), the Reimann sum that approximates the total work done in pumping all of the oil out of the tank.
5) In figure below, object (A) is 12000 units above the x axis and moving to the left with a constant speed. The observer (R), on the x axis, sees that the object (A) is 30° above the horizon and its angle is increasing degrees each second. What is the speed of object A? 12,000
11. Two surveyors are standing exactly 500 m apart. They spot a pond off in the distance. From the line passing between them, the first surveyor (surveyor A) measures the angle to the pond to be 17°. The second surveyor (surveyor B) measures the angle (from the same line between them) to be 65°. How far is each surveyor from the pond? Round to the nearest meter for each. Yes, you have enough information to solve this. Pond 65° 17° В A

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