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
natka813 [3]
3 years ago
13

Group A is on the north side of the fire and is 800 ft away from group B and 900 feet away from group C. Group A knows that the

angle between its two adjacent sides is 89.6. “
The emergency responders want to properly inform the nearby towns of the danger proximity. They will need all three angles. To do this they need some additional information. The emergency responders need to know the angle of Group B and Group C. They also need to know the distance between Groups B and C.

Mathematics
1 answer:
hram777 [196]3 years ago
4 0

Answer:

1. Length BC is 1200 ft

2. Angle B is 48.6°

3. Angle C is 41.8°

Step-by-step explanation:

1. Determination of the length BC

Side opposite C = c = 800 ft

Side opposite B = b = 900 ft

Angle A = 89.6°

Side opposite BC = a =?

Using cosine rule, we can obtain length BC as follow:

a² = b² + c² – 2bc CosA

a² = 900² + 800² – 2 × 900 × 800 × Cos89.6

a² = 810000 + 640000 – 1440000 × 0.007

a² = 1450000 – 10080

a² = 1439920

Take the square root of both side

a = √1439920

a ≈ 1200 ft

Thus, length BC is 1200 ft

2. Determination of angle B

Side opposite B = b = 900 ft

Side opposite A = a = 1200 ft

Angle A = 89.6°

Angle B =?

Angle B can be obtained by using sine rule as follow:

a / Sine A = b / Sine B

1200 / Sine 89.6° = 900 / Sine B

Cross multiply

1200 × Sine B = 900 × Sine 89.6°

1200 × Sine B = 900

Divide both side by 1200

Sine B = 900/1200

Sine B = 0.75

Take the inverse of Sine

B = Sine¯¹ 0.75

B = 48.6°

Thus, angle B is 48.6°

3. Determination of angle C

Side opposite C = c = 800 ft

Side opposite A = a = 1200 ft

Angle A = 89.6°

Angle C =?

Angle C can be obtained by using sine rule as follow:

a / Sine A = c / Sine C

1200 / Sine 89.6° = 800 / Sine B

Cross multiply

1200 × Sine C = 800 × Sine 89.6°

1200 × Sine C = 800

Divide both side by 1200

Sine C = 800/1200

Sine C = 0.6667

Take the inverse of Sine

C = Sine¯¹ 0.6667

C = 48.6°

Thus, angle C is 41.8°

You might be interested in
D divided bye 1.4=2.3 what is d
kati45 [8]
Multiply 2.3 by 1.4= D
4 0
3 years ago
Read 2 more answers
Which Inequality is represented by the number line graph?
USPshnik [31]

Answer:

option C is your right answer

Step-by-step explanation:

have a nice day!!

8 0
2 years ago
Find the area of the shaded regions below. Give your answer as a completely simplified exact value in terms of π (no approximati
Svetach [21]

Answer:

Answer:18+4.5\pi \\

Step-by-step explanation:

This shape is a triangle with a semicircle connected to it

and this triangle is a right triangle so side A=B

that means the other leg is 6.Knowing that we can solve

The formula for the area of a triangle is (base×height)÷2

so that means 6×6 equals 36 and if you divide that by 2 you get the 18.

Now we will deal with the semicircle. We know that both of the legs are 6 so that means the diameter is 6 and now we solve 6 divided by 2 equals 3 and we will have to square that and we will 9 and since it is a semicircle we have to divide it by 2  and that will give us 4.5 and since we have to express it in terms of pi it will be 4.5(pi) and then we add both of the areas

giving us 18+4.5(pi)

and do you go to RSM

8 0
3 years ago
Question 14 of 25
Naily [24]

Answer:

A

Step-by-step explanation:

perpendicular lines are the negative reciprocals of each other, and a pair of these lines intersects at 90 degrees.

5 0
2 years ago
Read 2 more answers
Resuelve las siguientes situaciones problemáticas: A) en una caja de 36 naranjas, si se han descompuesto, ¿qué parte del conteni
statuscvo [17]

Answer:

gdjlicnoirfbmlyrsrloydfbm

4 0
3 years ago
Other questions:
  • Two card decks are drawn from a standard 52-card deck, without replacement. Find the probability that they are both aces.
    9·2 answers
  • What is the weight of a 19 kg box on earth ?
    14·1 answer
  • For the functions f(x)=9x2+8x+2 and g(x)=4x2, find (f+g)(x) and (f+g)(−2)
    13·1 answer
  • What is the probability that the selected person does not have a master's degree?
    6·1 answer
  • What is the answer to twenty one tenths subtracting nine fifths
    5·1 answer
  • Find the value of the underlined digit 49254
    12·1 answer
  • Brian is ordering t-shirts for the chess team. The team's budget for clothing is at most $60. Each t shirts cost $12. Brian want
    15·2 answers
  • Naomi used a rectangle a square and a right triangle to form figure. What is the area of the shaded region of the figure in squa
    9·2 answers
  • Help this due today
    8·1 answer
  • A triangle has side lengths of (5k - 7) centimeters, (k - 4) centimeters, and
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!