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Concept explainers
Tour Boat A tour boat travels between two islands that are 12 miles apart (see figure). There is enough fuel for a 20-mile trip.
(a) Explain why the region in which the boat can travel is bounded by an ellipse.
(b) Let
(c) The boat travels from Island 1, past Island 2 to a vertex of the ellipse, and then to Island 2.
How many miles does the boat travel? Use your answer to find the coordinates of the
vertex.
(d) Use the results from parts (b) and (c) to write an equation of the ellipse that bounds the
region in which the boat can travel.
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Chapter 6 Solutions
WebAssign Printed Access Card for Larson's Trigonometry, 10th Edition, Single-Term
- 3 2 20-10-18-17-16-15-14-13-12-11-10-9 -8 -7 -6 -$4-3-2-1 -1 -2 -3 4- -5+ The curve above is the graph of a sinusoidal function. It goes through the points (-8, -4) and (6,-4). Find a sinusoidal function that matches the given graph. If needed, you can enter π=3.1416... as 'pi' in your answer, otherwise use at least 3 decimal digits. f(x) = > Next Question Barrow_forwardX Grades for X Assignmen X A-Z Datab XE Biocultural X EBSCO-Ful X Review es/119676/assignments/3681238 Review Quiz 8.1-p2 points possible Answered: 3/5 ● Question 1 4+ 3. 2 1 13 /12-11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 -1 -2 -3 -4- 5 2 6 The curve above is the graph of a sinusoidal function. It goes through the points (-7,0) and (3,0). Find a sinusoidal function that matches the given graph. If needed, you can enter π=3.1416... as 'pi' in your answer, otherwise use at least 3 decimal digits. f(x) = > Next Question 申 J % F 刀 Q Search S € t ח Y 7 I * 00 J ப I Darrow_forward2 d) Draw the following graph on the interval k 5π Next Questionarrow_forward
- Draw the following graph on the interval 5л Next Questionarrow_forwardDraw the following graph on the interval πT 5π < x < x≤ 2 2 y = 2 cos(3(x-77)) +3 6+ 5 4- 3 2 1 /2 -π/3 -π/6 Clear All Draw: /6 π/3 π/2 2/3 5/6 x 7/6 4/3 3/2 5/311/6 2 13/67/3 5 Question Help: Video Submit Question Jump to Answerarrow_forwardThe hydraulic cylinder BC exerts on member AB a force P directed along line BC. The force P must have a 560-N component perpendicular to member AB. A M 45° 30° Determine the magnitude of the force P. The magnitude of the force P is N. 8arrow_forward
- need help with my homeworkarrow_forwardTwo planes are flying at the same altitude. One airplane is 60 miles due north of the control tower.Another airplane is located 70 miles from the tower at a heading of 80° east of south. To thenearest tenth of a mile, how far apart are the two airplanes?arrow_forwardThe 50 pound force is to be resolved into components along lines A-A’ and B-B’. 1. Determine the angle α that thecomponent along A-A’ is 35 pounds. 2. What is the value of the component along B-B'arrow_forward
- Actividades: malemática (Erigonometria) Razones trigonometrica 2025 23 Jures Encuentra las seis razones of trigonométricas, on los siguienter tiringher rectangulies 4 A C =7 b=8cm. * c C=82m a=? * C * B A 4A=- 4 B= C=12cm B 9=7 C A b=6um B a=6cm Sen&c=- AnxB=- Sen&A = Anx = - Bos *A= - cos &c= Zang KA= Tong&c= ctg & A= — ctg &c= Séc & A = - Cosc&A= Secxce csck(= cos & C = - cos & B= Tong & C = — tang & B = d=g&c= cfg &c=— cg & B= sec &C= secxB=- оскв=- =_csCKB = 6=5m AnxA = - AnxB= cos * A= - cos &b= Tmg & A = - Tong & B=- ct₁ A = - C√ B=- cfg & Soc *A= Sec & B=- ACA=- CAC & B=- FORMATarrow_forwardClint is building a wooden swing set for his children. Each supporting end of the swing set is to be an A-frame constructed with two 10 foot long 4-by-4s joined at a 45 degree angle. To prevent the swing set form tipping over, Clint wants to secure the base of each A-frame to concrete footings. How far apart should the footings for each A-frame be?arrow_forwardFind the lengths of r, s, t, and u shown in the figure below if r+s=34. Round your answers to the nearest tenth. Note that the figure is not drawn to scale. 16 37° r = S u = t S u 24 ☑arrow_forward
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