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
zimovet [89]
2 years ago
5

Two boats left a base camp at bearing of S60°E and S50°W at speeds of 50km/h and 70km/h respectively. Find the distance between

the both boats after two hours.
Mathematics
1 answer:
ivolga24 [154]2 years ago
7 0

Answer:

  • 197.93 km

Step-by-step explanation:

Let the base camp is point A and boats' locations after two hours are points B and C.

By connecting the three points together we get a triangle ABC with sides:

  • AB = 50*2 = 100 km
  • AC = 70*2 = 140 km

The angle between AB and AC is:

  • 60 + 50 = 110 degrees (opposite directions from south)

We are looking for the distance BC, which can be found by using the law of cosines:

  • BC² = AB² + AC² - 2AB*AC*cos ∠BAC
  • BC² = 100² + 140² - 2*100*140*cos 110°
  • BC²  = 39176.56 (rounded)
  • BC = √39176.56 = 197.93 km (rounded)

The distance between the boats is 197.93 km.

You might be interested in
T(d) is a function that relates the number of tickets sold for a movie to the number of days since the movie was released. The a
Xelga [282]
The andwer would be 10 baby
4 0
2 years ago
Read 2 more answers
What's a statement that is true for any number or variable<br>​
KATRIN_1 [288]
Digit 3 has a value of 3*10000
5 0
4 years ago
Read 2 more answers
a recipe calls for 12 ounces of raisin. raisins come in boxes of 170 g. how many boxes of raisins are needed for the recipe?
Olin [163]

Hi there! Hope this helps, and if it does, please mark brainliest!

Answer:

2 boxes

Step-by-step explanation:

There are roughly 28 grams in an ounce. So if you have 12 ounces, times 28 by 12, which is 336, so you need 336 grams of raisins. Divide by 170, the number of grams in one box, which would be 1.98 boxes, but you have to round up, so you would need two boxes.

5 0
3 years ago
Bob had 2 apples Sam took 1 how many is left
Brilliant_brown [7]
1 apple is left..
2-1=1
5 0
3 years ago
Please answer and include step by step explanation<br> no bots<br> unrelated answer/comment = report
guajiro [1.7K]
314 in² hope this helps
4 0
2 years ago
Read 2 more answers
Other questions:
  • Sally spent $14.85 to buy 13 flowers. She bought lilies, which cost $1.25 each, and tulips, which cost $0.90 each. How many of e
    8·2 answers
  • I need help the number 10!!' ASAP!
    12·2 answers
  • A square photograph has a perimeter of 20 inches what is the area of the photograph
    9·1 answer
  • Please help me!!!!<br> WILL MARK BRAINLYIST
    15·1 answer
  • Find a rectangular equation. X = 3tan t, Y = 2sec t, for in (−π /2 , π /2 )
    11·1 answer
  • Helppp meee
    8·1 answer
  • Y+3x=5<br><br> How do i solve this?
    11·1 answer
  • Which of the following is a solution for 5 - 2xs-3?<br> -4<br> 4<br> 1<br> -1
    10·1 answer
  • This high school stadium contains a track that surrounds a soccer field. The soccer field is 100 yards long and 70 yards wide
    14·2 answers
  • Are two line segments always similar
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!