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
AnnyKZ [126]
3 years ago
12

Three ships, A, B, and C, are anchored in the atlantic ocean. The distance from A to B is 36.318 miles, from B to C is 37.674 mi

les, and from C to A is 11.164 miles. Find the angle measurements of the triangle formed by the three ships.

Mathematics
1 answer:
skelet666 [1.2K]3 years ago
7 0

Let us draw the triangle

here the sides a= 37.674 miles

b= 11.164 miles

c= 36.318 miles

Lets use the cosine rule to solve for the angles

( we cannot use the sine law since we do not have the measure of any of the angles)

The cosine law

c^{2} = a^{2} +b^{2} -2ab cos C

Let us plug in the values

(36.318)^{2}  = (37.674)^{2} + (11.164)^{2} - 2(37.674)(11.164). Cos C

1318.997 = 1419.33 + 124.634 - 841.184. Cos C

1318.997 = 1543.964  - 841.184. Cos C

841.184. Cos C = 1543.964-1318.997

841.184. Cos C = 224.967

Cos C = \frac{224.967}{841.184}

cos C = 0.267

C = 74.48°

We can use the sine law to calculate the value of angle A

\frac{a}{SinA} = \frac{c}{Sin C}

\frac{37.674}{Sin A} = \frac{36.318}{Sin 74.48}

Sin A = \frac{37.674. sin 74.48}{36.318}

Sin A = \frac{37.674 X 0.963}{36.318}

Sin A = 0.998

A= sin^{-1} (0.998)

A = 87.38°

Now we can easily find the third angle B by subtracting angle A and C from 180°

B = 180-(74.48 + 87.38)

B = 180-161.86

B = 18.14°

Hence we have all the three angles ( attached figure)

You might be interested in
HELP! ANSWER AS SOON AS POSSIBLE ASAP!
Galina-37 [17]

Answer:c

Step-by-step explanation:

4 0
3 years ago
A basketball player makes 90% of her free throws. what is the probability she will miss for the first time on the seventh shot?
Kobotan [32]
52.17% is the probability she will miss for the first time.
4 0
3 years ago
Which proportion would be used to solve the following problem. The proportion of turtles to alligators at the reptile park is 5:
spin [16.1K]

Answer:

befor i go im trynna love you baby hopefully e

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Plssss help 20 points plssa<br> If K Mis the perpendicular bisector of JL, find x.<br> Plsss
Viefleur [7K]

Answer:

x= 7

Step-by-step explanation:

4x+9 =11x-61

9 = 7x - 61

70 = 7x

x = 7

8 0
2 years ago
X<br> −<br> 3<br> 4<br> =<br> 8<br> Which value of <br> x<br> satisfies this equation?
insens350 [35]
. the answer is x=42
5 0
3 years ago
Other questions:
  • Need help with this question.<br><br> Find the values of x,y, and z. The diagram is not to scale.
    7·2 answers
  • CAN YOU PLEASE HELP. giving BRAINLIEST AND GIVE CORRECT ANSWER AND EXPLAIN
    5·1 answer
  • Kayla tutors a student for 18.50 per hour. She spends $50 on transportation. How much does she earn if she tutors for x hours
    12·1 answer
  • How to count from 170 to 410 using tens and hundreds
    10·2 answers
  • Determine the strongest classification for quadrilateral ABCD with vertices at A(1, 2), B(3, 5), C(5, 3), and D(2, 1). The quadr
    6·1 answer
  • The consumer price index is
    11·1 answer
  • 2(x-3)=5(x-3)+10<br><br><br> Need urgent help
    5·1 answer
  • Find the area of a rectangle with a base of 3 yards and a height of 4/7 yards.
    11·2 answers
  • In order to visit the Museum of Mathematics, Ascend requires `2` chaperons for every `5` students. If the school has `210` peopl
    13·1 answer
  • Plz help mee with thisss
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!