1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
patriot [66]
3 years ago
8

The wind is blowing N 35.0 degrees W at 1.60 * 10^2 mph. A plane has an engine speed of 3.20 * 10^2 mph. Where should the pilot

point the plane in order to fly straight W?

Mathematics
1 answer:
andreyandreev [35.5K]3 years ago
7 0

Answer: 24.2° SouthWest

<u>Step-by-step explanation:</u>

First step: DRAW A PICTURE of the vectors from head to tail <em>(see image)</em>

I created a perpendicular from the resultant vector to the vertex of the given vectors so I could use Pythagorean Theorem to find the length of the perpendicular. Then I used that value to find the angle of the plane.

<u>Perpendicular (x):</u>

 cos 35° = adjacent/hypotenuse

  cos 35° = x/160

→ x = 160 cos 35°

<u>Angle (θ):</u>

sin θ = opposite/hypotenuse

sin θ = x/320

sin θ = 160 cos 35°/320

    θ = arcsin (160 cos 35°/320)

    θ = 24.2°

Direction is down (south) and left (west)

You might be interested in
Is -8 rational or irrational
ANEK [815]

Answer:

rational

Step-by-step explanation:

All numbers that are not rational are considered irrational. An irrational number can be written as a decimal, but not as a fraction. An irrational number has endless non-repeating digits to the right of the decimal point. The number 22/7 is a irrational number

Kono Dio Da!!!

6 0
3 years ago
Read 2 more answers
According to Greg, perfect cherry pies have a ratio of 240 cherries to 3 pies. How many cherries does Greg need to make 9 perfec
vfiekz [6]
Simple, 3 goes in to 9, 3 times.  That would mean that to find the number of cherries, multiply 240 by 3.  Greg needs 720 cherries for 9 perfect cherry pies.
6 0
3 years ago
Read 2 more answers
Ms Walsh has 2 separate 7 foot boards.she needs to cut pieces that are 11 inches long from the boards.what is the greatest numbe
vazorg [7]
Ms. Walsh can get 12 11 inch boards
5 0
3 years ago
Help me on this question please​
Luba_88 [7]
Sorry hun I’ve never learned that
5 0
2 years ago
Sara tried to evaluate 21 : 7 x 8 step-by-step
nlexa [21]

Answer: Sara multiplied by 3 when she should have multiplied by 8.

Step-by-step explanation:

21 : 7*8

7*8 = 56

21 : 56

The simplest form of this ratio is 3 : 8

6 0
3 years ago
Other questions:
  • The scale on a road map is
    5·1 answer
  • $ 570 2% 4years simple interest
    7·1 answer
  • Find all values of x that satisfy the equation
    6·1 answer
  • What two facts can you double to find 8x4?
    9·1 answer
  • How much would $200 invested at 6% interest compounded annually be worth after 6 years? Round your answer to the nearest cent.
    7·1 answer
  • Quotient of 794.1 divided by 7.61
    14·1 answer
  • Is 192 rational , why is it?
    11·1 answer
  • A park planner is designing a rectangular butterfly garden. The plan is for the garden to have an area of 1,917 square feet wide
    9·2 answers
  • 11. Find the slope of the following coordinate points: (11,4)<br> and (5.-3)
    8·2 answers
  • ASAP ASAP!! HELP!! A supermarket needs to display 64 boxes of detergent.
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!