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
DerKrebs [107]
3 years ago
6

A boat leaves the harbor entrance and travels 28 miles in the direction N 43° E. The captain then turns the boat 90° and travels

another 15 miles in the direction S 47° E. At that time, how far is the boat from the harbor entrance, and what is the bearing of the boat from the harbor entrance?
Mathematics
1 answer:
Serga [27]3 years ago
3 0

Answer:

Step-by-step explanation:

A boat leaves the harbor entrance and travels 28 miles in the direction N 43° E.

Displacement in vector form

= 28 cos43 i + 28sin43j

= 20.47 i + 19.1 j

The captain then turns the boat 90° and travels another 15 miles in the direction S 47° E

Displacement

= 15 cos47 i - 15 sin47 j

= 10.22 i - 10.97 j

Total displacement

= 20.47 i + 19.1 j + 10.22 i - 10.97 j

= 30.69 i - 8.13 j

Magnitude of displacement

= 31.75 miles

Angle with east direction

TanФ = - 8.13 / 30.69

Ф = 15 degree  south of east.

You might be interested in
PLEASE HELP NEED IT ASAP!!! FOR A UNIT TEST!!!
fiasKO [112]
Y=1/2x+7 because you flip the sign and the numbers on the fraction for the slope then solve for the y-not
5 0
3 years ago
Read 2 more answers
The probability that a student chosen at random from your class is a psychology major is .18. What is the probability that a stu
devlian [24]

Answer:  0.82

Step-by-step explanation:

We know that :

For any event A , the probability of not getting A is given by :-

P(not A)= 1- P(A)

Given : The probability that a student chosen at random from your class is a psychology major is P( psychology major) =0.18.

Then, the probability that a student chosen at random from your class is not a psychology major will be :

P(not psychology major)= 1 - P(psychology major)

= 1-0.18=0.82

Hence, the probability that a student chosen at random from your class is not a psychology major= 0.82

5 0
3 years ago
A circle has an area of 2511 square centimeters. What is the length of its<br> radius?
romanna [79]

Answer:

r=28.27 cm aprox

Step-by-step explanation:

Well you know that the area of a circle is A= \pir^{2} so

2511=\pir^{2} so

r^{2}=2511/\pi

r=28.27 cm aprox

8 0
3 years ago
Read 2 more answers
Yurrrrrrrr......................​
baherus [9]

Answer:

1000000000000000000000+10000000000000000000000 :)

Step-by-step:

4 0
2 years ago
Read 2 more answers
If she sells her maths book for 10€ at a loss of 60% how much did she originally pay for the book
spin [16.1K]

Answer:

She originally paid 25 pounds

Step-by-step explanation:

8 0
3 years ago
Other questions:
  • Use the remainder theorem to find which of the following is not a factor of X^3+12X^2+47X+60
    12·1 answer
  • Convert this number to a percent. .000103 = _____
    5·1 answer
  • Is -41 a whole number
    7·1 answer
  • Solve. High school pre-cal
    8·1 answer
  • Find the next two terms in the sequence. 0, 1, 4, 9, . . .
    14·2 answers
  • Please can someone help.
    11·1 answer
  • What is 13 D + 8 equals -1<br>solve for d​
    10·1 answer
  • 15 POINTS
    6·1 answer
  • Ganesh is making a scale model of the Space Needle in Seattle, Washington. The Space Needle is 605 feet tall. If the model is th
    14·2 answers
  • sewer lines in a system of equations with no solution have slopes that must be the same or different ?​
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!