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
Artemon [7]
2 years ago
6

Two soccer players on the field are 10 m apart, and their coach is on the sideline. The angle measured from player 1 between pla

yer 2 and the coach is 52°. The angle measured from player 2 between player 1 and the coach is 40°. How far is player 1 from the coach?a) 6.4 m b) 7.9 m c) 8.2 m d) 12.3 m

Mathematics
1 answer:
Radda [10]2 years ago
4 0

Answer:

The correct option is a) 6.4 m

Step-by-step explanation:

Let A represents the position of first player B represents the position of second player and C represents the position of the Coach,

According to the question,

AB = 10 meters,

m\angle BAC = 52^{\circ}

m\angle CBA = 40^{\circ}

Since, the sum of all interior angles of a triangle is 180°,

\implies m\angle CAB+m\angle ABC+m\angle ACB=180^{\circ}

52^{\circ}+40^{\circ}+m\angle ACB=180^{\circ}

92^{\circ}+m\angle ACB=180^{\circ}

m\angle ACB=180^{\circ}-92^{\circ}=88^{\circ}

Using law of sine,

\frac{\sin C}{AB}=\frac{\sin B}{AC}

\frac{\sin 88^{\circ}}{10}=\frac{\sin 40^{\circ}}{AC}

\implies AC = \frac{10\sin 40^{\circ}}{\sin 88^{\circ}}=6.43179\approx 6.4

Hence, player 1 is 6.4 meters far from the coach.

You might be interested in
What is 56/19 as a mixed number
pashok25 [27]
The answer is 2 18/19
6 0
3 years ago
Read 2 more answers
Which is the most accurate way to estimate 51% of 57?
kow [346]
Multiply 0.57 by 51
=29.07

----------------------------------------------------------------------

8 0
2 years ago
Read 2 more answers
A four-pack of 4242-ounce ink cartridges sells for $85.99$85.99. The expression 42c42c represents the amount of ink in a number
masya89 [10]
The variable cc refers to how much ink is in a certain number of cartridges. If the box says 42cc, that means the amount of ink in those particular cartridges is 42. If a box said 12cc, the amount would be 12. The variable cc just states the amount of ink you can expect from a particular amount of cartridges.
8 0
3 years ago
5-5|5x+3|=-10 solve
AleksAgata [21]
Exact Form:

x = 0 , −6/5

Decimal Form:

x = 0 , − 1.2

Mixed Number Form:

x = 0 , − 1 1/5
6 0
2 years ago
Given the arithmetic sequence: u(1)= 124, u(2)= 117, u(3)= 110, u(4)=103,...
omeli [17]

We are given

arithmetic sequence: u(1)= 124, u(2)= 117, u(3)= 110, u(4)=103

so, first term is 124

u(1)= 124

now, we can find common difference

d=u(2)-u(1)

d=117-124

d=-7

now, we can find kth term

u(k)=u(1)+(k-1)d

now, we can plug values

and we get

u(k)=124+(k-1)*-7

u(k)=124-7k+7

u(k)=131-7k

u(k) must be negative

so,

u(k)=131-7k

131-7k

now, we can solve for k

7k>131

k>18.714

so, it's closest integer value is

k=19..............Answer


3 0
3 years ago
Other questions:
  • How can you use different ways to write a number as ten and ones
    12·1 answer
  • A store owner paid 15 dollars for a book. She marked up the price of the book by 40 percent to determine its selling price.
    9·1 answer
  • What is the answer please help
    10·2 answers
  • Candy store sells Carmel’s and milk chocolate by the pound. The table below shows the total cost, in dollars, for a pound of eac
    6·1 answer
  • What is the third term in this sequence?
    10·1 answer
  • Jacob needs to know the volume of the cylinder shown below. Which expression will give him the correct volume?
    12·2 answers
  • A four-sided backyard is in the shape of a parallelogram and has two adjacent sides both with lengths of 30 feet. Which of the f
    5·1 answer
  • Gumawa ng bilog na grap (pie graph) na nagpa
    6·1 answer
  • Add them all with explanation please
    13·1 answer
  • Tamara is considering two different groups for her relay-race team. Listed below are the different practice times, in minutes, r
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!