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
Harlamova29_29 [7]
3 years ago
12

two observers, Anna and Bryan. sight a kite at angles 44 degrees and 66 degrees. respictively. if anna is located 20m from the k

ite. how far is anna from bryan?
Mathematics
1 answer:
Arada [10]3 years ago
3 0

Answer:

28.6m

Step-by-step explanation:

this question is very incomplete. it requires a number of assumptions to give an answer. the main one - where is Bryan located relative to Anna ? I assume diametrically on the opposite side of the kite. because he has the steeper angle, it is clear that he is nearer to the kite.

so, I guess, we have to add his distance to the kite to her distance to the kite to get the distance between her and him.

but he could be on any point on a circle around the kite to have the same viewing angle, and we would have no clue about where on that circle.

as the other extreme alternative, he could be on the same line to the kite as Anna. and then we would have to subtract his distance from her distance.

but again, we assume he is exactly on the other side of the kite.

anyway, each person creates a right-angled triangle with the kite:

there is the direct line of sight as the base line or Hypotenuse (c).

there is the line on the ground from the person to the point on the ground directly under the kite as one side.

there is the line representing the height of the kite above ground as the other side. we let this start at the height of the eyes of the watching person.

and we assume that both persons are of the same height (so the height of the kite relative to their eyes is the same for both).

let's start with Anna.

the side a of Anna's triangle is

a = 20m

angle between a and c = 44 degrees

we know the angle between a and b is 90 degrees.

therefore the angle between b and c = 180-90-44 = 46 degrees.

now we use the law of sines :

a/sin(bc) = b/sin(ac) = c/sin(ab)

we know sin(ab) = sin(90) = 1

20/sin(46) = b/sin(44)

b = 20×sin(44)/sin(46) = 19.31... m = height of the kite

now to Bryan.

now we know his b (height of the kite) = 19.32... m

his angle between a and c is 66 degrees.

his angle between a and b is also 90 degrees.

therefore his angle between b and c = 180-90-66 = 24 degrees.

19.31/sin(66) = a/sin(24)

a = 19.31×sin(24)/sin(66) = 8.6 m

based on our assumption that they are standing opposite from each other in relation to the kite their distance is

20 + 8.6 = 28.6m

You might be interested in
Anbody know the answer??
LiRa [457]
I'm going to have to go with choice "c". 10x - 1 with the remainder of  5
8 0
3 years ago
What number is 35 percent of 120
KIM [24]
What you would do is multiply for this problem.
you turn 35% into a decimal so the problem would look like 
0.35 x 120 that should equal 42
hope that helps
5 0
3 years ago
Read 2 more answers
Lisa’s dog has 4 squeaky toys. Two thirds of the dogs toys are squeaky. How many dog toys does Lisa’s dog have in all?
lys-0071 [83]

Answer:

6 dog toys.

Step-by-step explanation:

If 2/3 of the total dog toys are squeaky, 4 is two thirds of 6, meaning Lisa has 6 dog toys.

8 0
3 years ago
Which of the following graphs is the inverse of f(x) = x2 + 4?
Eddi Din [679]

Answer:

Step-by-step explanation:

5 0
3 years ago
Gravel is being dumped from a conveyor belt at a rate of 15 ft3/min, and its coarseness is such that it forms a pile in the shap
gayaneshka [121]

Answer:

0.13 ft/min

Step-by-step explanation:

We are given that

\frac{dV}{dt}=15ft^3/min

We have to find the increasing rate of change of height of pile  when the pile is 12 ft high.

Let d be the diameter of pile

Height of pile=h

d=h

Radius of pile,r=\frac{d}{2}=\frac{h}{2}

Volume of pile=\frac{1}{3}\pi r^2 h=\frac{1}{12}\pi h^3

\frac{dV}{dt}=\frac{1}{4}\pi h^2\frac{dh}{dt}

h=12 ft

Substitute the values

15=\frac{1}{4}\pi(12)^2\frac{dh}{dt}

\frac{dh}{dt}=\frac{15\times 4}{\pi(12)^2}

\frac{dh}{dt}=0.13ft/min

7 0
3 years ago
Other questions:
  • Write an equation of a line that passes through the point (2, 3) and is parallel to the line y = 3 over 2x + 5.
    7·1 answer
  • Find the area of the trapezoid.<br> 15 m<br> 12 m<br> 18 m<br> D<br> 21 m
    10·1 answer
  • Solve the proportion. PLEASE HELP!!
    9·1 answer
  • How do you find the = in alterndte exterior angles
    6·2 answers
  • 3 over 7 - 5 over 6. Simplify and turned into a mixed fraction simplified
    13·1 answer
  • Please help me fast! I will give brainliest, if you show your work, and it is the right answer. Four lines are drawn on a coordi
    7·1 answer
  • Help ASAP!!! Problem is on the picture provided.
    14·2 answers
  • Trying again. Can someone please help me asap? Please, thank you.
    14·1 answer
  • A database contains 58,000 items. Items are added to the database at a rate of 2 items per minute.
    8·1 answer
  • Can you guys plz help
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!