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
arlik [135]
3 years ago
12

A ship leaves port and travels due west for 30 knots, then changes course to S 30° W and travels 50 more knots. Find the bearing

from the port of departure

Mathematics
1 answer:
leva [86]3 years ago
5 0

Answer:

  232°

Step-by-step explanation:

There are a couple of ways to find the desired direction. Perhaps the most straightforward is to add up the coordinates of the travel vectors.

  30∠270° +50∠210° = 30(cos(270°), sin(270°)) +50(cos(210°), sin(210°))

  = (0, -30) +(-43.301, -25) = (-43.301, -55)

Then the angle from port is ...

  arctan(-55/-43.301) ≈ 231.79° . . . . . . . 3rd quadrant angle

The bearing of the ship from port is about 232°.

_____

<em>Comment on the problem statement</em>

The term "knot" is conventionally used to indicate a measure of speed (nautical mile per hour), not distance. It is derived from the use of a knotted rope to estimate speed. Knots on the rope were typically 47 ft 3 inches apart. As a measure of distance 30 knots is about 1417.5 feet.

You might be interested in
What 2 numbers add up to 1 and multiply to -12
Vinil7 [7]
-3 and 4......................
7 0
3 years ago
Read 2 more answers
Romeo will roll a 6-sided number cube, numbered 1-6, twice. What is the probability of rolling an odd number on the 1st roll and
elena-s [515]
1st rol= 3/6
2nd roll= 1/6
8 0
2 years ago
Which awnser is an equation in point-slope form for the given point and slope?
ExtremeBDS [4]

The correct answer is B) y + 9 = 2(x - 1)

In order to find this, simply take the point and the slope and plug into the base form of point-slope form.

y - y1 = m(x - x1)

Use the slope for m and the point for (x1, y1)

y + 9 = 2(x - 1)

3 0
3 years ago
Find f(-2) if f(x) = 2x + 1.​
mash [69]

Answer:

-3

Step-by-step explanation:

f(x)=2x+1

f(-2)=2(-2)+1=-4+1=-3

7 0
3 years ago
The coordinate of M is 2.5 and MN = 4. What are the possible coordinates for N?
Ipatiy [6.2K]

Answer:

Step-by-step explanation:

if these are horizontal or vertical coordinates then co-ordinates of N are

\[2.5 \pm 4\]

co-ordinates of N are -1.5 or 6.5

4 0
3 years ago
Other questions:
  • One of the zookeepers solved to find Bernard’s speed when he is healthy using the equation:
    12·2 answers
  • Octavia is asking about her age. My brother is 7 years older than I am. Our ages add up to 39. How old are Octavia and her broth
    10·1 answer
  • When combining like terms what is 8m - 10m?
    6·2 answers
  • Verify sin^4 x - sin^2 x = cos^4 x - cos^2 x is an identity
    5·1 answer
  • What is the answer of 2+y=11​
    13·2 answers
  • PLEASE PLEASE HELP I WILL GIVE EXTRA POINTS AND BRAINALIST TO FIRST PERSON THXXX
    14·1 answer
  • Jade can travel 42 miles in 4 hours. Please calculate Jade's rate of speed. (round to 2 decimal places)
    13·2 answers
  • Raheem's entire workout consisted of 15 minutes of warm-up exercises, 30 minutes of lifting weights,and 45 minutes on the treadm
    11·1 answer
  • (x, 4) and (-5, 6); slope: 10​
    11·1 answer
  • To rent a certain meeting room, a college charges a reservation fee of $14 and an additional fee of $5 per hour. The chemistry c
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!