B) The angle of depression from an observation tower to boat A is 28 degrees. The angle of depression from the same point of the tower to boat B is 45 degrees. If the tower is 60 meters tall, approximately how far is boat A from boat B.
Answers
Answer:
53 meters
Step-by-step explanation:
The angle between a viewer's horizontal line of sight and the line of sight down towards a particle is called the angle of depression. For example if a viewer is sitting at the top of a tower and looking down on a car, the angle between the viewer's horizontal line of sight and the line of sight to which he looks at the car is the angle of depression.
A sketch of the positions of the boats and the tower has been attached to this response.
As shown,
the distance between the two boats A and B is marked x meters.
the horizontal distance between boat A and the foot of the tower is y meters.
the horizontal distance between boat A and the foot of the tower is x + y meters.
the height of the tower is 60 meters.
the angle of depression of boat A is 28°
the angle of depression of boat B is 45°
To find the value of y, from triangle DBC we use the trigonometric ratio for tangent. i.e
tan 45° = [tex]\frac{60}{y}[/tex]
1 = [tex]\frac{60}{y}[/tex]
y = 60 meters
To find the value of x, from triangle ABC we use the trigonometric ratio for tangent. i.e
tan 28° = [tex]\frac{60}{x+y}[/tex]
Where y = 60 meters
tan 28° = [tex]\frac{60}{x+60}[/tex]
0.5317 = [tex]\frac{60}{x+60}[/tex]
x + 60 = [tex]\frac{60}{0.5317}[/tex]
x + 60 = 112.85
x = 112.85 - 60
x = 52.85 meters
Therefore, boat A is about 53 meters from boat B
Related Questions
Pls answer this with a picture showing the correct box plot
Answers
Answer/Step-by-step explanation:
To find out the mistake of the student, let's find the min, max, median, Q1 and Q3, which make up the 5 important values that are represented in a box plot.
Given, {2, 3, 5, 6, 10, 14, 15},
Minimum value = 2
Median = middle data point = 6
Q1 = 3 (the middle value of the lower part of the data set before the median)
Q3 = 14 (middle value of the upper part of the data set after the median)
Maximum value = 15
If we examine the diagram the student created, you will observe that he plotted the median wrongly. The median, which is represented by the vertical line that divides the box, ought to be at 6 NOT 10.
See the attachment below for the correct box plot.
Please help! I'll also give you a brainlist.
Answers
the ] signifies that the four is included in the range, rather than ) which means reaching but never approaching. this is why we use ( ) for - and + infinity, cause it can never be reached.
minimum: (-infinity, infinity)
keep it in same format as you have for the maximum
increasing
the interval -infinity
Find the area of the regular polygon.
The perimeter of 14 and radius of 2.5
Answers
Answer:
The area of the regular polygon is 17.5.
Step-by-step explanation:
To find the area of the regular polygon with a perimeter of 14 and radius of 2.5, the following calculation must be performed, knowing that the area of a regular polygon arises from multiplying the perimeter by the apothem divided by two:
(14 x 2.5) / 2 = X
35/2 = X
17.5 = X
Therefore, the area of the regular polygon is 17.5.
what's the answer ?
[tex] \sqrt{96 + 4} [/tex]
Answers
Answer:
[tex]10[/tex]
Step-by-step explanation:
[tex] \sqrt{96 + 4} [/tex]
[tex] \sqrt{100} [/tex]
[tex] \sqrt{ {10}^{2} } [/tex]
[tex]{10} [/tex]
Hope it is helpful....
Answer:
Solution given;
[tex] \sqrt{96 + 4} [/tex]
[tex] \sqrt{100} [/tex]
[tex] \sqrt{10²} [/tex]
±10 is a required answer.l
Standardized tests for certain subjects, given to high school students, are scored on a scale of 1 to 5. Let X represent the score on a randomly selected exam. The distribution of scores for one subject’s standardized test is given in the table.
A 2-column table with 5 rows. Column 1 is labeled score with entries 1, 2, 3, 4, 5. Column 2 is labeled Probability with entries 0.18, 0.20, 0.26, 0.21, 0.15.
What is the probability of earning a score of 3 or higher?
0.26
0.36
0.62
0.66
Answers
Answer:
C. 0.62
Step-by-step explanation:
probability of earning a score of 3 or higher means the probability we are trying to find includes 3,4,5 so we just add these together to get the probability of 3 and above
3 = 0.26
4= 0.21
5= 0.15
0.26+0.21+0.15= 0.62
A system of equations is shown below.
24+2 = 10
5-2=4
What is the solution of the system of equations?
O 12.7
O 2,7)
0 2.3
O 3,23
Answers
Answer:
6, 0
Step-by-step explanation:
if 10 x equals 5 what is x
Answers
Answer:
x= 0.5
Step-by-step explanation:
10x=5
First divide one side by 10 to isolate x, then divide 5 by 10
This makes x equal 0.5
Write 3.629 x 107 in standard notation.
Answers
Answer: 36,290,000
Step-by-step explanation:
The school baseball team has 3 pitchers. How many different 3-player pitching schedules can the coach choose from?
help if you want to see my anime drawings
Answers
Answer:
6 schedules
Step-by-step explanation:
First, decide if this situation describes a combination or a permutation by looking at the significance of order. Consider a specific example where the letters A – C represent the 3 different pitchers. The pitching order A, B, C is different from the pitching order B, C, A because the players will be pitching at different times. Therefore, this situation describes a permutation. Use the formula for finding the number of permutations when the number of pitchers is 3, so n = 3, and all 3 are taken at a time, so r = 3 as well.
Solve for the Hypotenuse of the Right Triangle in the Diagram below. C = ?, a = 5, b = 12
•25
•144
•169
•13
Answers
Answer:
13 is the correct answer. Remember the equation c = √(a² + b²)
NO LINKS PLEASE
EXPLANATION REQUIRED
I WILL GIVE BRAINLIEST
DONT MINF MY PRO CROPPING. DEFF.
ALSO ITS NOT A
Answers
Answer:
I believe it's C
Step-by-step explanation:
The surface area of the bottom is 64 because it's 8 times 8.
All of the sides are 8 times 12.
8 times 12 is 96.
96 times 4 (for all four sides) is 384.
So the sides (384) plus the bottom (64) is 448, or C
17 is at least 5 more than 3 times x. Explain how you wrote your equation or inequality.
Answers
Answer:
17>3x+4
Step-by-step explanation:
Step-by-step explanation:
17 > or = 5 + 3x
hope it helps!
Find each missing measure.
Answers
Answer:
m∠E= 37°
m∠F=37°
Step-by-step explanation:
Total angle value: 180°
180-106=74
The lengths are the same, so we can determine that the angles E and F are the same. So we divide 74 by 2
74/2= 37
m∠E= 37°
m∠F=37°
Hope this helps! Have a nice day :)
in the month of July on one particular day the maximum temperature in Dubai was recorded as 50° C . convert it into degree Fahrenheit
Answers
Answer:
122 °F
Step-by-step explanation:
(50°C × 9/5) + 32 = 122°F
Hi! Do any of you know the answer to this question? I’m struggling and I’m terrible at geometry. Plz help!
Answers
Answer:
8y-36x=16
Step-by-step explanation:
Dialating means you are multiplying or dividing. Since 2 is positive you multiply everything by 2, usually it would be coordinates, like if it said dialate (2,4) by 6 we would get (12, 24), but I didn't really want to have to solve the equation for the coordinates so try the answer I wrote, if not I am so so so sorry but at least now you know what dialating means.
PLS ANSWER 46 AND 47
Answers
Answer:
78.3 and 22
Step-by-step explanation:
Helppppppp ASP plsssss
Answers
Answer:
18cm3
Step-by-step explanation:
3x2x3=18
Length x Width x Height
Hope this helps plz like& brainly
a recipe needs 1/4 tablespoon salt. this same recipe is made 5 time,es how much total is needed?
Answers
Answer:
1 and 1/4
Step-by-step explanation:
If you multiply 1/4 five times, you will get your answer
ASAP HELPPPPPPPPPPPPPPPP!!!!!!!!!!!!!!!
Answers
Step-by-step explanation:
90-27=63°<2<2,<4360°Answer:
the answer is angle 4 is congruent to angle 3 and the measure of angle 4 is angle to angle 54, while, the congruent of angle 4 is angle 2 and, the supplement angle of angle 3 is angle 1 and the sum of all is angle 162
pls help with math thank you
Answers
Answer:
Dvds cost 12 games cost 19.
Step-by-step explanation:
Put the amount of dvds and video games into an equation and assign variables.
3x+2y=74
5x+2y=98
You can solve multiple ways, although I'll do graphing for this equation.
After graphing, you get 2 lines that intersect. The point of intersection is 12,19 meaning that a dvd is 12 (x) and a video game is 19 (y)
DVD = x
video games = y
3 DVD + 2 video games = $74
3x + 2y = 74
5 DVD + 2 video games = $98
5x + 2y = 98
We can easily use eliminations by changing one of the equations, with all variables becoming negative signs, in order to eliminate the variable y.
-(3x + 2y = 74)
-3x -2y = -74
Now add both equations toegther (in order to eliminate the avriable y and solve for x).
5x + 2y = 98
-3x -2y = -74
____________
2x + 0y = 24
2x = 24
x = 12 [A DVD costs $12]
Plug that value for x into one of the equations:
5x + 2y = $98
5(12) + 2y = 98
60 + 2y = 98
2y = 38
y = 19 [A video game costs $19]
ANSWER: a DVD costs $12 and a video game costs $19choose the third option.
1) Completá las tablas.
Redondeo A la unidad A los décimos A los centésimos
A los milésimos
2 7
Truncamiento A la unidad A los décimos
A los centésimos
A los milésimos
2 7
2) Calculá el error en cada uno de los redondeos y truncamientos que realizaste en la tabla anterior.
3) Marcelo tiene que cortar una tabla de 3 m de largo para obtener 7 estantes iguales. ¿Cuántos cm de largo debe medir cada estante si quiere aprovechar toda la tabla? Resolvé y aproximá el resultado por el método más conveniente.
Matemática 3°A Notación científica - Redondeo – Truncamiento – Profesora: Andrea Ramos
3
4) Expresá los siguientes datos en notación científica.
a) El diámetro del Sol es de 1400000 km.
b) La distancia de la Tierra a Neptuno es de 4308000000 km.
c) El radio de un protón es de 0,00000000005 m.
d) El tamaño de un átomo de hidrogeno es de 0,0000000001 metros.
5) Expresá las siguientes cantidades en notación científica.
a) 0,00000962 =
b) 12000000000 =
c) 30 =
d) 85630000 =
e) 6000 =
f) 0,00007 =
g) 0,0028 =
6) Los siguientes números están expresados en notación científica, escribí el valor real.
a) 3,45 x 106=
b) 9,8 x 10−8=
c) 6,362 x 102=
d) 5,3 x 10−4=
e) 7,45 x 104=
f) 5 x 10−8=
g) 3,02 x 103=,
7) a) ¿Entre qué valores puede estar un número que al redondearlo da 4,25? b) ¿Y si se hubiese truncado? c) ¿Cuál es el mayor error que se puede cometer en cada caso?
Matemática 3°A Notación científica - Redondeo – Truncamiento – Profesora: Andrea Ramos
4
8) Redondeá a los centésimos los siguientes números: 9,278 – 8/6 – 48,392 – 6,795 – a) Indicá cuál es el mayor error absoluto que se comete al redondear un número a los centésimos.
9) a) Aproximen los siguientes números con un error menor o igual a 0,001. 3,52394 – 23/11 – 7/13. b) Aproximen los mismos números con un ε ≤ 0,0005.
Answers
Answer:
...
Step-by-step explanation:
....
The scatter plot below shows the relationship between games played and tickets won. Which graph has the line of best fit drawn correctly?
Need helpppp
Answers
Answer:
omg thats hard if you figure that out your smart 43
Step-by-step explanation:
k
sine rule / trigonometry
how do i answer this
Answers
Step-by-step explanation:
area of first triangle =1/2×112×202×sin30°
1/2×112×202×1/25656m²area of second circle=1/2×202×197×sin60.5°
1/2×202×197×0.87017310.39m²Total area of estates=area of first triangle +area of second triangle
5656+17310.3622966.39m²hope it helps.
Jessica has bought 30 pounds of dog food. She feeds her dog 3/5 pounds for each meal. For how many meals will the food last?
Answers
5/5 pounds= whole
Answer:
1 2/5
If the volume of a cone is 150, what is the volume of a cylinder? A) 150. B) 30. C) 450. D) 50
Answers
Step-by-step explanation:
Volume of a cone= 150
Volume of a cylinder=?
Now,
Volume=22/7*r^
Answer:
(C) 450
Step-by-step explanation:
Volume of cone: (1/3)×(pir^2h)
Volume of cylinder: (pir^2h)
The volume of the cone multiplied by (1/3) should give you your answer. (150 × 3)
A climber is ascending the face of a 500-foot high vertical cliff at 5 feet per minute. Her climbing partner is observing from 150 feet away. Find the function that describes the amount of time climbing as a function of the angle of elevation of the observer’s line-of-sight to the climber. Does the viewing angle ever reach 75 degrees?
Answers
Answer:
a) t (α) = 30 * tan α
b) α = 75 ° is not possible because
Step-by-step explanation:
The vertical cliff (y), the observing partner ( 150 ft ) from the point o ( the common point for the cliff and the ground ) between the cliff, and the line of sight from the observer and the climber, shape a right triangle. Hypothenuse is the distance between the partners, the cliff, and distance of the observer to the cliff are the legs.
Then
α is the elevation angle
tan α = y / 150 (1)
y(t) = elevation of the climber
y(t) = speed * time
y(t) = 5 * t
tan α = 5 *t / 150
tan α = t / 30
t (α) = 30 * tan α
b) α = 75 ° is not possible because:
tan α = y / 150 tan 75° = 3.73
Then y = 3.73 * 150 = 559 ft and the cliff is only 500 ft
HELP PLEASE!! Please don't give me sites or links, those won't work since the site is blocked!
Answers
Answer:23/10
Step-by-step explanation:
Rahul, a coach at a local school has collected data on his players. But in an accident he lost how many games each player participated in. He knows that per game Michael played 30 minutes, had 1 foul, and 2 goals. Per game, Sherry played 25 minutes, had 1 foul, and 5 goals. Rashad played 20 minutes, had 2 fouls, and 4 goals per game. Rahul also knows that the total amount of all three players. Together they played 370 minutes, had 20 fouls, and 58 goals. Can you use algebra to determine how many games each athlete played in
Answers
Answer:
Michael played 4 games, Sherry played 6 games and Rashad played 5 games
Step-by-step explanation:
Let X, Y and Z represents the number of games for the three players.
Based on the given information, three equations can be formed -
30 X + 25 Y + 20 Z = 370 ---(1)
X + Y + 2Z = 20 ---(2)
2X + 5Y + 4 Z = 58 ---(3)
From Equation (2), X = 20 -Y-2Z
Substituting value of X from equation 2, in equation 1 and 2, we get -
30 (20-Y-2Z) + 25 Y + 20 Z = 370
600 -30Y-60Z + 25 Y + 20 Z = 370
-5Y -40Z = -230
Y + 8Z = 46 ----(4)
2(20-Y-2Z) + 5Y + 4 Z = 58
40 -2Y-4Z + 5Y + 4 Z = 58
3Y = 18
Y = 6
Substituting value of Y in equation 4, we get -
8Z = 46-6
8Z = 40
Z = 5
Substituting value of Y and Z in equation 2 we get
X + 6 + 2* 5 = 20
X = 20-16 = 4
Hence, Michael played 4 games, Sherry played 6 games and Rashad played 5 games
HELPPPPP REWARD BRAINLIESTT AND POINTSSS
Answers
Answer:
Step-by-step explanation:
6.) A
8.) A
9.) D
Find the area of the figure. Sides meet at right angles NO LINKS
Answers
Answer:
105 m²
Step-by-step explanation:
Dividing the figure into 3 rectangle will be easier to find its area.
The area of the larger rectangle
= (10-5) × 13
= 65 m²
The total area of the 2 smaller rectangles
= 2 × (4×5)
= 40 m²
The area of the figure
= 65 + 40
= 105 m²