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
Masteriza [31]
2 years ago
10

This is confusing me please someone help

Mathematics
1 answer:
Viefleur [7K]2 years ago
4 0

Answer:

  • The distance from the plane to the observer tower is 7.7 km

Step-by-step explanation:

We are given two sides and one angle opposite to one of the known sides.

In order to find the missing side we need to use the law of sines.

<h3>Step 1</h3>

Find the angle opposite to the second known side, let it be x.

  • sin 68°/7.5 = sin x /5.2
  • sin x = 5.2 sin 68°/7.5
  • sin x = 0.64 (rounded)
  • x = arcsin 0.64
  • x = 39.8°

<h3>Step 2</h3>

Find the missing third angle y, using angle sum theorem:

  • 68° + 39.8° + y = 180°
  • 107.8° + y = 180°
  • y = 180° - 107.8°
  • y = 72.2°

<h3>Step 3</h3>

Find the required side length z, the distance from the plane to the observer tower, using the law of sines again.

<u>Note</u>. <em>At this point you can use the law of cosines as we have found the angle between the known sides.</em>

<em />

  • sin 68°/7.5 = sin 72.2°/z
  • z = 7.5 sin 72.2°/sin 68°
  • z = 7.7 km (rounded)

So the required distance is 7.7 km

You might be interested in
How much percentage of a minute is a second?
KengaRu [80]

Answer:

2%

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Help to solve -7 - 3a = 1 - 4a
Evgesh-ka [11]

Answer:

-7 - 3a = 1 – 4a  

Step one: Add 4a to -3a  

 

-7 + a = 1  

 

Step two: Add 7 to 1  

 

A = 8  

 

You're done! A=8 for this problem!  

 

 

Hopefully this helps! Feel free to mark brainliest!  

6 0
3 years ago
Read 2 more answers
How are determinants used to find areas of polygons?
ANTONII [103]
When you arrange the N points in sequence around the polygon (clockwise or counterclockwise), the area is half the magnitude of the sum of the determinants of the points taken pairwise. The N determinants will also include the one involving the last point and the first one.

For example, consider the vertices of a triangle: (1,1), (2,3), (3,-1). Its area can be computed as
  (1/2)*|(1*3-1*2) +(2*-1-3*3) +(3*1-(-1)*1)|
  = (1/2)*|1 -11 +4| = 3

4 0
3 years ago
The perimeter of an equilateral triangle is 13 inches more than the perimeter of a​ square, and the side of the triangle is 6 in
ss7ja [257]

Answer:

The side of the triangle is 11 inches

Step-by-step explanation:

please kindly see the attached files for explanation

8 0
3 years ago
Use the graph to write a linear function that relates y to x .
sergiy2304 [10]

Answer:

2y = x + 2

Step-by-step explanation:

Looking at the graph, we can see from one point to the next (from right to left), the x-value rises by 2 and the y-value by 1;

From this we can work out the gradient between two points using the formula, i.e. the change/difference in y divided by the change/difference in x:

m = \frac{dy}{dx} = \frac{1}{2}

Joining the points gives a straight line, which means a constant gradient of ¹/₂

Use the line equation formula to get the function:

y - y₁ = m(x - x₁)

m = ¹/₂

x₁ = 0

y₁ = 1

y - 1 = ¹/₂.(x - 0)

y - 1 = ¹/₂.x

2y - 2 = x

2y = x + 2

8 0
3 years ago
Other questions:
  • I really need help on finding the midpoints !!
    14·2 answers
  • What is the Square root of 18?<br><br><br><br> ​
    15·2 answers
  • Write the sum of 18 + 27 as the product of their GCF and another sum <br><br> (PLEASE HELP)
    6·1 answer
  • What's the answer???!
    14·2 answers
  • HEY CAN SOMEONE DO NUMBER 1 FOR ME ONLY??? ILL GIVE BRAINLIEST!!!!! IM RUSHINGGGGG
    5·1 answer
  • Solve: 5.1 + (-12.1)
    8·1 answer
  • 21.<br> 42°<br> 792<br> x = [blank1]
    8·1 answer
  • Find the GCF of 24 and 108.
    6·2 answers
  • Please help i need an answer ASAP
    7·1 answer
  • What is the slope of a line that goes through the points (-3, 4) and (2, 8) ?
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!