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
velikii [3]
3 years ago
5

The distance between two locations, A and B, is calculated using a third location C at a distance of 15 miles from location B. I

f ∠B = 105° and ∠C = 20°, what is the distance, to the nearest tenth of a mile, between locations A and B?

Mathematics
2 answers:
Jobisdone [24]3 years ago
4 0
We will first calculate ∠A:
∠∠A = 180° - ( 105° + 20 ° ) = 180° - 125° = 55°
Then we will use the Sine Law:
15 / sin 55° = AB / sin 20°
15 / 0.81915 = AB / 0.342
AB · 0.81915 = 15 · 0.342
AB · 0.81915 = 5.13
AB = 5.13 : 0.81915
AB = 6.26 ≈ 6.3 miles
Answer: The distance between the locations A and B is 6.3 miles.
ladessa [460]3 years ago
4 0

Answer:

Distance between A and B is 5.7 miles

Step-by-step explanation:

In the given triangle ABC

∠B = 105° and ∠C = 20°

and distance between locations B and C = 15 miles.

We have to determine the distance between locations A and B.

In triangle ABC

∠A = 180 - (∠B + ∠C) = 180 - (105 + 20) = 180 - 125 = 55°

\frac{sinA}{a}=\frac{sinB}{b}=\frac{sinC}{c}

Now we place the values of angles and distance BC in the formula

\frac{sinA}{a}=\frac{sinC}{c}

\frac{sin55}{15}=\frac{sin20}{c}

\frac{0.8192}{15}=\frac{0.342}{c}

\frac{0.342}{c}=.0546

c=\frac{0.342}{.0546}=6.26

Therefore distance between locations A and B is 6.3 miles

You might be interested in
What is the solution set to 8(2x - 3) s 20 - 4X?
Zolol [24]

Answer:

d

Step-by-step explanation:

8 0
2 years ago
An archaeologist at a dig sets up a coordinate system using string. Two similar artifacts are found one at position (1, 4) and t
myrzilka [38]

Given:

Positions of two artifacts are at points (1, 4) and (5, 2).

To find:

The distance between these two artifacts.

Solution:

Distance formula: The distance between two points is

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Using distance formula, the distance between two points (1, 4) and (5, 2) is

d=\sqrt{(5-1)^2+(2-4)^2}

d=\sqrt{(4)^2+(-2)^2}

d=\sqrt{16+4}

d=\sqrt{20}

d=4.4721359

Round to the nearest tenth of a unit.

d\approx 4.5

Therefore, the distance between two artifacts is 4.5 units.

4 0
2 years ago
Need some help with this please
saveliy_v [14]
-0.83 for it’s the lowest number
5 0
2 years ago
( wil give branliest) I need help. thank you
Lisa [10]
Tbh 8778188778654789644477 I’m am a 90 old man
7 0
2 years ago
Solve for x: 3(x + 1)=2(x - 1)
blagie [28]

Answer:

x=-5

Step-by-step explanation:

3(x + 1)=2(x - 1)

3x + 3 = 2x - 2

3x - 2x = -2 - 3

x = -5

Hope this helps!

8 0
3 years ago
Read 2 more answers
Other questions:
  • James bought 2/3 pound of red apples, 3/4 pound of green apples, and 5/6 pound of yellow apples. How many pounds of apples did J
    10·1 answer
  • GuYs i need your help?!?!?! Are these ratios equevalent? 30:5 and 5 to 1 Yes or no!!!!!!!???????
    9·2 answers
  • You are ordering softballs for two softball leagues. The Pony Leagues uses an 11-inch softball prices at $2.75. The Junior Leagu
    8·1 answer
  • TAKE ANY UNMARKED BOWL OR GLASS AND FILL IT EXACTLY 3/5 FULL WITH WATER.
    7·1 answer
  • How do you write 3×10+5×1+2×1\10+7×(1/1000)+6×(1/1000) as a decimal
    7·1 answer
  • Two hundred tickets for the school play were sold. Tickets cost $2 for students and $3 for adults. The total amount collected wa
    14·2 answers
  • Somebody help me lol
    12·1 answer
  • Find the equivalent expression for (30 + 6) / 12
    13·1 answer
  • Tom goes on hoilday south africa
    6·2 answers
  • 2/9 g =-8
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!