An airplane needs to head due north, but there is a wind blowing from the northwest at 80 km/hr. The plane flies at an airspeed of 600 km/hr, To end up due north, the pilot will need to fly the plane _________________ degrees west of north.

An airplane needs to head due north, but there is a wind blowing from the northwest at 80 km/hr. The plane flies at an airspeed of 600 km/hr, To end up due north, the pilot will need to fly the plane _________________ degrees west of north.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter6: The Trigonometric Functions

Section6.7: Applied Problems

Problem 32E

See similar textbooks

Related questions

Q: Find the solution of the given initial value problem 88y" +19y" + y = 0, y(0) = -5, y'(0) = 6, y"(0)…

Q: ponents [[(4}}]

A: We can solve the answer as below.

Q: Find the derivative of f(x): z²+2 . Enclose numerators and denominators in parentheses. For example,…

A: Finding f'(x)

Q: (c) (i) Show that the equation (3x²y²-10xy²)dx + (2x³y-10x²y)dy = 0 is an exact equation. (ii) Then,…

A: We need to show that the given differential equation is exact and also we need to find out the…

Q: 18) Find the first derivative of y = 1 -sin² x - 4

A: The given function is: y=14sin2x

Q: In the following problems you will find the limit of a function numerically (i.e. from a table).…

Q: Find the area of the shaded region

A: Given :Function :y=1y=cos2x

Q: Evaluate the integral: J 3 хе x³ e³x dx

Q: (y³ − 3y + 2)√9+ x²dx + x²dy = 0

A: To find the general solution to the given differential equation.y3-3y+29+x2 dx+x2 dy=0

Q: Find y as a function of t if y(0) = 4, y(0) = 1. y(t): = 64y" - 144y + 81y = 0,

A: Given: The characteristics equation is 64m2-144m+81=0⇒m=--144±-1442-4· 64· 812·…

Q: ) solve the ode: dx - (x + y + 1)dy = 0

A: We know that derivatives power rule is - d(xn)/dx = nxn-1. And integration power rule is -…

Q: 5) Evaluate the given expression without the aid of a calculator tan[arcsin( +1 x+ 6 --)]

A: We have to evaluate the given expression without the aid of a calculator.

Q: Find the directional derivative of the function at P in the direction of v. f(x, y) = P(4, 5), v =…

Q: 16. Find the exact value of: π a) sin¹(tan(- =)) 3 √₂ 2 b) sin(cos-1(-

Q: 1. Use the substitution method to evaluate x² S. VAI ³ + 50° dx

A: Here we have to find the integral using substitution method.

Q: dy The following differential equation is separable as it is of the form dx dy e6x + 5y dx dy h(y)…

Q: t².edt J (P)

A: Solve the following

Q: . Sketch the graph of g(x)=sin7x, using the amplitude and th period.

A: To sketch the graph of the function

Q: The function s(t) = t³ - 12t² + 45t represents the position of a particle (in meters), at time t (in…

A: We have to find points of position where object is at the rest position.

Q: x - 12 Find the area bounded by y = x²1x56 (Round the answer to four decimal places.) x = 5, x = 6,…

Q: A kids Ferris wheel has 8 equally spaced cars. What is the angle of elevation of the child looking…

A: Given : angle of elevation is the upwards angle from the horizontal line to a line of sight from…

Q: It costs c dollars each to manufacture and distribute backpacks. If the backpacks sell at x dollars…

Q: A triangle is measured and two adjacent sides are found to be 3 inches and 4 inches long, with an…

Q: 5. From the top of a building a bicycle is seen. The distance between the bicycle and the base of…

Q: State the range of the following function g(x) = = 7- 2x² x ER

Q: Find the directional derivative of the function at the given point in the direction of vector v.…

A: The objective of the question is evaluate the directional derivative at the given point and…

Q: The bearing of a ship from a lighthouse was found to be N 18° E. After the ship sailed 5.5 miles due…

Q: Consider the following. w = √36 - 4x² - 4y², x=rcos(8), y = r sin(0) (a) Find aw/or and aw/00 by…

Q: Determine how many terms of the following convergent series must be summed to be sure that the…

A: Here, the given series is: ∑k=0∞5(-1)kk! Let, ak=5(-1)kk!; k≥1

Q: Find the x-coordinate of the centroid of the area bounded by y(x² - 4) = 1, y = 0, x = 4, and x =…

Q: If sin(0) and is in quadrant I, find the following: 7 Give exact values. No decimals allowed! cos(0)…

Q: In some manufacture company, which sales certain product, the price function p and the cost function…

Q: myopenmath.com/ Write an expression in factored form for the polynomial of least possible degree…

A: Solution :According to graph it has 4 roots.so least possible degree of 4.yx=kx+4x+1x-2x-4graph…

Q: 15. Verify the identities: a) csc x -sin x = cos x • cotx b) tan²0 1 + sece 1 - cose cose

Q: Solve the initial value differential equation: (x² + 1) + 3xy = 3x where y(0) = 2

A: Given Differential equation,x2 + 1dydx + 3xy = 3xandy0 = 2

Q: Find the solution of the given initial value problem. y(4) – 6y"" +9y” – 0; P y(1) = 9+e³, y'(1) =…

Q: If f(x) = x² + 2x and g(x) Answer 11 X , find f(g(t)). f(g(t)) =

Q: Prove that if A is an invertible matrix and B is row equiva- to A, then B is also invertible. ation

Q: Your friend is having difficulty answering the following question. List the steps, both…

Q: A truck with 22-in.-diameter wheels is traveling at 45 mi/h. Find the angular speed of the wheels in…

Q: Determine a suitable form for Y(t) if the method of undetermined coefficients is to be used. y" - 4y…

Q: Determine the quadrant in which x lies if tan x 0. Οιν || 1 ||| x lies on an axis

Q: Use the method of variation of parameters to determine the general solution of the given…

A: We first need to find complementary solution Auxiliary equation is given by m3-2m2-m+2=0…

Q: Find the average rate of change of g(x) = - 4x³5 from = - - 3 to x = 1

Q: This answer is w

Q: where do these (encircled in red) come from?

A: I am attaching image so that you understand each and every step. Please take exact value then we get…

Q: 8. Find the local maximum and minimum values and saddle points of the function f(x,y)=2x + 4y +3x²…

A: This is a problem related to maxima and minima. Please follow the procedure given below.

Q: Find the unknown angles in triangle ABC for the following triangle if it exists. C=52° 30', b=25.4…

Q: Find the indicial equation and the exponents for the specified singularity of the given differential…

Q: Find the x-coordinate of the centroid of the area bounded by y (x² − 9) = 1, y = 0, x = 7, and x = 9…

A: Given: yx2-9=1

Question

An airplane needs to head due north, but there is a wind blowing from the northwest at 80 km/hr. The plane flies at an airspeed of 600 km/hr,

To end up due north, the pilot will need to fly the plane _________________ degrees west of north.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

Airplane Ascent During takeoff, an airplane’s angle of ascent is 18 and its speed is 260 feet per second. (a) Find the plane’s altitude after 1 minute. (b) How long will it take for the plane to climb to an altitude of 10,000 feet?
Leaning Windmill After a wind storm, a farmer notices that his 32-foot windmill may be leaning, but he is not sure. From a point on the ground 31 feet from the base of the windmill, he finds that the angle of elevation to the top of the windmill is 48. Is the windmill leaning? If so, what is the acute angle the windmill makes with the ground?
Navigation A fisherman leaves his home port and heads in the direction N 70 W. He travels 30 mi and reaches Egg Island. The next day he sails N 10 E for 50 mi, reaching Forrest Island. a Find the distance between the fishermans home port and Forrest Island. b Find the bearing from Forrest Island back to his home port.
Distance A plane travels 170 miles on a bearing of N 18 E and then changes its course to N 49 E and travels another 120 miles. Find the total distance traveled north and the total distance traveled east.
Distance to a Ship A ship is anchored off a long straight shoreline that runs north and south. From two observation points 18 miles apart on shore, the bearings of the ship are N 31 E and S 53 E. What is the distance from the ship to each of the observation points?
Empire State Building You are standing 45 meters from the base of the Empire State Building. You estimate that the angle of elevation to the top of the 86th floor (the observatory) is 82. The total height of the building is another 123 meters above the 86th floor. What is the approximate height of the building? One of your friends is on the 86th floor. What is the distance between you and your friend?
Leaning Ladder A 20-ft ladder leans against a building so that the angle between the ground and the ladder is 72. How high does the ladder reach on the building?
Force If you have ever ridden on a chair lift at a ski area and had it stop, you know that the chair will pull down on the cable, dropping you down to a lower height than when the chair is in motion. Figure 19 shows a gondola that is stopped. Find the magnitude of the tension in the cable toward each end of the cable if the total weight of the gondola and its occupants is 1,850 pounds.
Angle of Elevation A man standing near a building notices that the angle of elevation to the top of the building is 64. He then walks 240 ft farther away from the building and finds the angle of elevation to the top to be 43. How tall is the building?