Oh no! Dr. Pythagorean has returned! He has stolen Mr. Henville (Again!) and your magicflying protractor. He tells you (because evil villains always share their dastardly plans!) that the distancebetween you and Mr. Henville is 6 km; the distance between Mr. Henville and the protractor is 8 km;and the angle from you is 65°. You want to save both your protractor and Mr. Henville. Should yousave Mr. Henville then the protractor, or the protractor then Mr. Henville, and why? Use trigonometryto find out! Include a diagram in your answer and fully explain your reasoning.

Let us denote P as the protractor, H the Mr Henville, and M as me.

Answered: Oh no! Dr. Pythagorean has returned! He…

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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Work out the following problems. Show all the nec 1. Find the angle between 2x - y = 4 and 3x + 4y = 12
A boat (B) is stranded at sea and the coast guard (C) is on it’s way to help. A helicopter (H) is hovering above them at an altitude of 200m. Looking down from the helicopter, the stranded boat is at a bearing of 110° and angle of depression of 35°. The coast guard is at a bearing of 240° with and angle of depression of 50° from the helicopter. If the coast guard is travelling at 30 m/s, how long will it take for the coast guard to reach the stranded boat? Round to final answer to 2 decimal places. (note: bearings are measured clockwise from north)
Two ships, one sailing at 30mi/hand the other at 457mi/h, left port at the same time. Three hours later they were 120mi apart. If you had to find the angle between their courses, an equation that could be used to solve this problem is:
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At a ski resort, the highest ski run, Hattie’s Haven, can only be accessed by taking two lifts. The first lift leaves the lodge area and travels 1200 m at an inclination of 43° to a transfer point. From the transfer point, the new lift travels 1500 m at an inclination of 53° to the top of Hattie’s Haven ski run. The resort is undergoing renovations and is planning on creating a new ski run called Giffin’s Gallop. This run would be 30 m to the right of the top of Hattie’s Haven and 40 m higher. A new lift must be installed that goes directly from the lodge area to the top of Giffin’s Gallop. Determine the angle of elevation of the lift from the lodge area to the top of Giffin’s Gallop
Two observers at P and Q are located on the side of a hill that is inclined 32° to the horizontal, as shown. The observer at P determines that the angle of elevation toward a hot air balloon is 62°. At the same time, the observer at Q measures the angle of elevation to the balloon to be 71°. If P is 60 meters downhill from Q, find the distance from Q to the balloon.
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