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
Bad White [126]
3 years ago
11

Island A is 250 miles from island B. A ship captain travels 260 miles from island A and then finds out he is off course and 160

miles from island B. What bearing should he turn to, so he is heading to island B?
Mathematics
1 answer:
elena-14-01-66 [18.8K]3 years ago
7 0

CHECK THE COMPLETE QUESTION BELOW

Island A is 250 miles from island B. A ship captain travels 260 miles from island A and then finds that he is off course and 160 miles from island B. What bearing should he turn to, so he is heading straight towards island B?

A. 111.65

B. 119.84

C. 21.65

D. 135.53

Answer:

OPTION A IS CORRECT

A. 111.65

Step-by-step explanation:

This question can be explained using a triangle, let us say triangle ABD

and let us say A and B represent the islands and D is the particular point from where the captain is standing at a distance of 160 miles from B island .

We will be making use of cosines rule to calculate our angles, and we know that from cosine rule

D² = a² + b² -2abCosD

Where, a= 160 b = 260 and d = 250 then we can substitute in order to calculate our angles

250²= 60² + 260² - 2(160*260)Cos(D)

62500= 625600+ 67600- 83200CosD

83200CosD= 25600+ 67600 - 625600

83200CosD= 30700

CosD= 30700/83200

CosD= 0.369

D= cos⁻¹ (0.369)

D=68.35

Therefore, the angle inside the triangle is 68.35°

Now we can now find the bearing the captain supposed to turn , if he is heading to island B which will be the external angle of the triangle, but we know that The external angle =180°(supplimentary angles )

Then the angle he would turn will be external angle of the triangle - 68.35°

= (180 - 68.35)

= 111.65°

Therefore, the bearing the captain should turn is 111.65° for him to be heading straight towards island B.

You might be interested in
Pls help LOL it’s pretty easy but like I don’t have time
MakcuM [25]

Answer:because it’s just reversed

Step-by-step explanation:

3 0
3 years ago
Graph the following features:<br> Y-intercept = -2<br> Slope = -3
SVEN [57.7K]
Slope intercept formula
Y=-3x-2
Plot a point at the intercept (0,-2)
Then go down 3 over 1 and plot another point (1,-5) then connect with a line

6 0
2 years ago
Need. help please give answer for this if its right ill mark brainiest<br> 2(5x+2)=2x+20
White raven [17]

Answer:

x=2

Step-by-step explanation:

10x+4=2x+20

10x-2x=20-4

8x=16

x=2

8 0
2 years ago
Read 2 more answers
2x+10=6(x-1) What does x equal
Gennadij [26K]

Answer:

x=4

Step-by-step explanation:

2x+10=6(x-1)

2x+10=6x-6

10=6x-2x-6

10=4x-6

16=4x

4=x

4 0
3 years ago
Any help is appreciated:)<br><br>God blast it the photo didn’t load
mart [117]

... what is the question lol

6 0
3 years ago
Other questions:
  • Harold measures the heights in inches of the new plants that are growing in his greenhouse. He records the lengths shown below a
    11·1 answer
  • Factor completely.<br><br><br><br> n2 + 7n - 44
    10·2 answers
  • What is the answer for this answer 4 × (8 – 3) = (4 × 8) – ( × 3)
    9·1 answer
  • Bases,faces,edges,and vertices?<br>(excuse my crusty handwriting)
    5·1 answer
  • Explain a method you could use to find the value of x.
    12·1 answer
  • Each angle of the equilateral triangle in the figure has measure (2x + 12)°. Find the value of x. answers: 24 39 12 84
    8·2 answers
  • I need help with this you are helping me graduate! I would appreciate help
    14·1 answer
  • Makayla has a loyalty card good for a discount at her local hardware store. The item she wants to buy is priced at $37, before d
    5·2 answers
  • What is a country that starts with an V
    14·2 answers
  • Please help ASAP ASAP
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!