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
allsm [11]
3 years ago
8

Help! Thanks!!!!!!!!!

Mathematics
1 answer:
san4es73 [151]3 years ago
4 0

1)

∠BAC = ∠NAC - ∠NAB = 144 - 68 = 76⁰

AB = 370 m

AC = 510 m

To find BC we can use cosine law.

a² = b² + c² -2bc*cos A

|BC|² = |AC|²+|AB|² - 2|AC|*|AB|*cos(∠BAC)

|BC|² = 510²+370² - 2*510*370*cos(∠76⁰) =

|BC| ≈ 553 m


2)

To find ∠ACB, we are going to use law of sine.

sin(∠BAC)/|BC| = sin(∠ACB)/|AB|

sin(76⁰)/553 m = sin(∠ACB)/370 m

sin(∠ACB)=(370*sin(76⁰))/553 =0.6492

∠ACB = 40.48⁰≈ 40⁰


3)

∠BAC = 76⁰

∠ACB = 40⁰

∠CBA = 180-(76+40) = 64⁰


Bearing C from B =360⁰- 64⁰-(180-68) = 184⁰


4)

Shortest distance from A to BC is height (h) from A to BC.


We know that area of the triangle

A= (1/2)|AB|*|AC|* sin(∠BAC) =(1/2)*370*510*sin(76⁰).

Also, area the same triangle

A= (1/2)|BC|*h = (1/2)*553*h.


So, we can write

(1/2)*370*510*sin(76⁰) =(1/2)*553*h

370*510*sin(76⁰) =553*h

h= 370*510*sin(76⁰) / 553= 331 m

h=331 m


You might be interested in
HELP almost due in 5
skad [1K]

Answer:

A, D,F are triangle sides

4 0
3 years ago
2/3xd=10/9 what is d
lisabon 2012 [21]

Answer:d=5/3x

Step-by-step explanation:

Let's solve for d.

(2/3x)(d)=10/9

Step 1: Divide both sides by (2x)/3.

2/3dx / 2x/3=10/9 / 2x/3

d=5/3x

8 0
3 years ago
It was estimated that the United States would need 6200 more veterans in 2012. The percent error was 10%. If the estimate was lo
sdas [7]
30.......ik lol hahshdkslxpazplaz
5 0
3 years ago
What is the approximate length of the diameter, d? Use 3.14
Dimas [21]

Answer: 15.9

Step-by-step explanation:

Just took the quiz

6 0
3 years ago
Read 2 more answers
Which of the following is listed from least to greatest?
Blizzard [7]

Answer:

B. .002, .03, .6, .9

Step-by-step explanation:

.002 is .002

.03 is .030

.6 is .60

And, .9 is .90

So in conclusion, least to greatest would be .002 , .030 , .60 , then last but not least .90. The option that best matches this is B!

3 0
3 years ago
Read 2 more answers
Other questions:
  • How do I calculate 2/3 of 3/7
    9·2 answers
  • Which location correctly describes the location of -34 on the number line
    7·1 answer
  • Sarah had invested $800 in a savings account that paid 4.2% interest compounded annually. How much money was in the account afte
    14·1 answer
  • A health clinic uses a solution of bleach to sterilize petri dishes in which cultures are grown. The sterilization tank contains
    12·1 answer
  • Which equation is represented by the graph below? y=ln x y=ln x+1 y=e^x y=e^x+1
    6·1 answer
  • Suzie surveyed 8 students at her school about their favorite colors. Of the students surveyed, 2 said green was their favorite c
    12·1 answer
  • A radioactive substance has a continuous decay rate of 0.056 per minute. How many grams of a 120 gram sample will remain radioac
    5·1 answer
  • I just can't do thissssssssss
    10·2 answers
  • The cone in the figure below has a volume of 722 cubic centimeters and a height of 6
    5·1 answer
  • B) Solve the following system of equations using Elimination Method:
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!