You need to know how far you are away from the lighthouse.
You use a range finder to find the distance from the sailboat to the lighthouse light is 245 yards.
For angle B, chose an angle measure between 25° and 45°: __________
Based on the above information, find the distance from the sailboat to the island where the lighthouse is located.
Answers
Answer:
The distance from the sailboat to the island where the lighthouse is located is approximately 212.2 yards
Step-by-step explanation:
The distance between the sailboat and the lighthouse is found using trigonometric ratios as follows;
The given parameters are;
The distance from the sailboat to the lighthouse's light = 245 yards
The angle of elevation of angle B = An angle chosen between 25° and 45°
For simplicity, we chose, B = 30°
A right triangle formed with the height of the light house and the horizontal distance of the sailboat from the lighthouse as legs and angle B is the angle adjacent to the horizontal distance of sailboat from the light house
The hypotenuse length = The distance from the sailboat to the lighthouse's light = 245 yards
By trigonometric ratio, in the we have;
[tex]cos\angle B = \dfrac{Adjacent\ leg \ length}{Hypotenuse \ length}[/tex]
The adjacent leg length = The horizontal distance of sailboat from the light house
[tex]\therefore cos (30^{\circ}) = \dfrac{The \ horizontal \ distance \ between \ the \ sailboat \ and \ the \ lighthouse }{245 \ yards}[/tex]
The horizontal distance between the sailboat and the light house = 245 × cos(30°) ≈ 212.176223927
Therefore;
The horizontal distance between the sailboat and the lighthouse ≈ 212.2 yards
Therefore, the distance from the sailboat to the island where the lighthouse is located ≈ 212.2 yards.
Related Questions
Lucky won 500$ in a lottery she used 25% to buy candies and saved the rest how much money did she save
Answers
Answer:
$375
Step-by-step explanation:
If she spent 25%, then she saved 75%.
75% of $500 is 375. 500(0.75)
PLEASE HELP FAST!!!
find the equation of the line that is perpendicular to this line and passes through the point (-7, 6)
find the equation of the line that is parallel to this line and passes through the point (-7, 6)
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Answer:
si..............................................
Find the surface area of the regular hexagonal prism.
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Answer:
I think the surface is
Step-by-step explanation:
3.5
What is the volume of a hemisphere with a radius of 4.9 ft, rounded to the nearest
tenth of a cubic foot?
Answers
The volume of the hemisphere with the given value of radius to the nearest tenth is 246.4 cubic foot.
Hemisphere
A hemisphere is gotten when a sphere is cut into two equal halves.
The volume of a hemisphere is expressed as;
V = (2/3)πr³
Where r is the radius and π is pi ( π = 3.14 )
Given the data in the question;
Radius of the hemisphere r = 4.9ftVolume of the hemisphere V = ?To determine the volume of the hemisphere, we substitute our values into the expression above.
V = (2/3)πr³
V = (2/3) × π × (4.9ft)³
V = (2/3) × π × 117.649ft³
V = 246.4ft³
Therefore, the volume of the hemisphere with the given value of radius to the nearest tenth is 246.4 cubic foot.
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Solve the equation for the indicated variable
Answers
Answer:
-1
Step-by-step explanation:
5(3x+7)=20-2(x+1)
15x+35=20-2x-2
17x=-17
x=-1
check answer:
5(3(-1)+7)=20-2(-1+1)
5(4)=20-0
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21 points Brailiest pic below
Answers
Find the amount accumulated after investing a principal P for t years at an interest rate compounded k times per year. P = $3,500 r= 5% t = 10 k = 4
A = ?
Answers
Answer:
A = 5,752.60
Step-by-step explanation:
P = $3,500
r= 5%
t = 10
k = 4
A = P(1 + r/k)^kt
= 3,500(1 + 0.05/4)^4*10
= 3,500(1 + 0.0125)^40
= 3,500(1.0125)^40
= 3,500(1.6436)
= 5,752.6
A = 5,752.60
Solve for x. Round your answer to the nearest tenth (one decimal place).
Answers
Answer:
[tex]\displaystyle x \approx 6.7[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityTrigonometry
[Right Triangles Only] SOHCAHTOA[Right Triangles Only] cosθ = adjacent over hypotenuseStep-by-step explanation:
Step 1: Define
Angle θ = 78°
Adjacent Leg = x
Hypotenuse = 32
Step 2: Solve for x
Substitute in variables [cosine]: [tex]\displaystyle cos78^\circ = \frac{x}{32}[/tex][Multiplication Property of Equality] Multiply 32 on both sides: [tex]\displaystyle 32cos78^\circ = x[/tex]Rewrite: [tex]\displaystyle x = 32cos78^\circ[/tex]Evaluate: [tex]\displaystyle x = 6.65317[/tex]Round: [tex]\displaystyle x \approx 6.7[/tex]help me, please a b c or d
Answers
Answer: B
Step-by-step explanation: ;)
what is 8 030 070 in words
Answers
Answer:
eigth million thirty thousand seventy
HELP I NEED HELP ASAP
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HELP I NEED HELP ASAP
The number of sandwiches sold by four stores during one week is shown in the graphs. Which store has the MOST skewed data?
Answers
Select the correct answer.
Consider this equation of a parabola.
- 2x2 - 4x + 2y + 8 = 0
What is the equation expressed in vertex form?
O A.
B.
л
y = (x – 4)2 – 20
y = (x + 1)2 – 5
C. y = (1 – 4)2 + 4
OD. y = (x + 1)2 - 1
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Answer:
B
Step-by-step explanation:
Hey can you please help me with this
Answers
x=-11
Hope this helps :T
Solution :
Given that,
3 (x + 7) = -12To find :
Value of x.>> x + 7 = -12 / 3
>> x + 7 = -4
>> x = -4 - 7
>> x = -11
Therefore, value of x is -11.A swim instructor would like to test the effect of a new swim technique versus the standard technique for a group of 25 competitive swimmers.
The swim instructor divides the students by class (junior or senior), and then randomly allocates half of the 14 juniors and 5 of the 11 seniors to receive instruction on the new technique.
During swim practice, the instructor times the juniors as they race against each other to see if those who learned the new technique outperform their peers. The instructor does the same for the seniors.
At the end of practice, the instructor compares the average swim time for both juniors and seniors among those who did and did not use the new technique.
A) The instructor should place the 25 student names on slips of paper and place them in a hat. Twelve of the slips should be drawn out and those students should receive the instruction on the new technique.
B) The instructor should place the names of the 14 juniors on slips of paper and place them in one hat. The 11 seniors’ names should be placed on slips of paper and placed into a separate hat. The instructor should randomly select 7 juniors and 5 seniors to receive instruction on the new technique.
C) For each student, the instructor should flip a coin. If the coin lands on heads, the student will receive instruction on the new technique. If the coin lands on tails, the student will not receive instruction on the new technique.
D) The students should line up alphabetically and count off by 2s. Every student who gets a 1 will receive instruction on the new technique. Every student who gets a 2 will not receive instruction on the new technique.
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Answer:
B on Edge 2021.
Step-by-step explanation:
BBBBBB
Answer:randomized block experimental design
Step-by-step explanation:
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Answer:
9
Step-by-step explanation:
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Step-by-step explanation:
True or false:
29 < 5
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Answer:
False
Step-by-step explanation:
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What is 5 1/6 + 2/3?
Answers
The sum of the fraction 5 1/6+2/3 is 5.83.
How to calculate sum of the fraction?Any number of equal parts is represented by a fraction, which also represents a portion of a whole. When expressed in common English, a fraction, such as one-half, eight-fifths, or three-quarters, specifies the number of components of a specific size.
5 1/6 + 2/3 = 5.83
An element of a whole is a fraction. When expressed in common English, a fraction, such as one-half, eight-fifths, or three-quarters, specifies the number of components of a specific size. A fraction appears in the numerator or denominator of a complex fraction.
There are three main categories of fractions in mathematics. Proper fractions, incorrect fractions, and mixed fractions are these three types. The expressions with a numerator and a denominator are called fractions. We categorize its types based on these two terms. The terminology used to calculate fractions the parts of a whole object.
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Pls answer this I will give 10 points and brainlest for 4 to 6 answers
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Answer:
wheres the question
Step-by-step explanation:
What is the sum of 25 57/100 + 72 9/10 and 362 17/100 + 49 3/10
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Answer:
509.94
Step-by-step explanation:
That's the answer!
trust me! Correct me if I'm wrong
don't worry I solved it so many
times and that's the answer
hope it helps you ❤
follow me for more!
first on is 98.47
second one is 411.47
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Please help me!!!!! This one of my last questions.
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Answer:
A = 21.2
Step-by-step explanation:
Assuming that the triangle is equilateral, the area would be approximately 21.2 feet.
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Answer:
1/5 x (6 x 4) goes to less than 24 (ps I’m not sure sorry)
2 x 6 x 4 goes to great than 24
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Answer:
the answers are in the picture because I wrote them on paper. Hope it helps!
I used a calculator on every problem so they should be correct
What type of association would you expect to see between the amount of fog in the sky and the distance a pilot can see?
positive association
negative association
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not enough information to tell.
Answers
A function of x containing three ordered pairs of the form (x, y) is shown below. {(1, 3), (2, 7), (3, -9)}
What is the range of the function?
Answers
Answer:
-9,3
Step-by-step explanation:
The range of the function is {3, 7, -9}.
What is a function?A relation between a collection of inputs and outputs is known as a function. A function is a connection between inputs in which each input is connected to precisely one output. Each function has a range, co-domain, and domain.
Given:
A function of x containing three ordered pairs of the form (x, y) is shown below. {(1, 3), (2, 7), (3, -9)}.
The range of the function is,
= the number of value in the y-coordinate.
= {3, 7, -9}
Therefore, {3, 7, -9} is the range.
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brainly.com/question/28303908
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Step-by-step explanation:
V=πr^2h
(3)(6)^2(13)
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find the volume of the composite figure
Answers
39in³ is a required volume.
Solution given:
for upper one
length[l]=8in
breadth[b] =3in
height[h]=1in
now
volume [V1]=l×b×h=8×3×1=24in³
again for lower one:
length[l]=6-1=5in
breadth[b] =3in
height[h]=1in
volume [V2]=l×b×h=5×3×1=15in³
Again
total volume =V1+V2=24in³+15in³=39in³
hello im a person
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Answer: i am a person
Step-by-step explanation:
Answer:
heloo
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Answers
Answer:
i am pretty sure it's a.
Step-by-step explanation:
i hope this helps :)
Answer:
it's -2sqrt7
the first answer
Step-by-step explanation:
pls mark me brainliest!
Convert 0.9 cm into m
Answers
Answer is 0.009
0.9 ( 0.01 m / cm ) = 0.009