A boat heading out to sea starts out at Point A, at a horizontal distance of 1032 feet
from a lighthouse/the shore. From that point, the boat's crew measures the angle of
elevation to the lighthouse's beacon-light from that point to be 15°. At some later
time, the crew measures the angle of elevation from point B to be 6°. Find the
distance from point A to point B. Round your answer to the nearest tenth of a foot if
necessary.
Answers
Answer:
1598.9 ft
Step-by-step explanation:
You want the distance between points A and B when observers at each point find the angle of elevation to a lighthouse beacon to be 15° and 6°, respectively. Point A is 1032 ft horizontal distance from the lighthouse.
TangentThe tangent relation for sides in a right triangle is ...
Tan = Opposite/Adjacent
This can be rearranged to ...
Opposite = Tan × Adjacent
SetupIf d is the distance in feet from A to B, two expressions for the same lighthouse height can be written:
height = tan(15°)(1032)
height = tan(6°)(1032 +d)
SolutionEquating these values of height, we have ...
tan(6°)(1032 +d) = tan(15°)(1032)
d = 1032(tan(15°) -tan(6°))/tan(6°) = 1032(tan(15°)/tan(6°) -1)
d ≈ 1598.946 . . . . feet
The distance from A to B is about 1598.9 feet.
Related Questions
A cube is made up of squares with sides 3 cm long. What is the surface area of the cube?
Answers
9514 1404 393
Answer:
54 cm²
Step-by-step explanation:
Each of the 6 faces of the cube has an area that is ...
A = s² = (3 cm)² = 9 cm²
Then the area of the cube is ...
6 × 9 cm² = 54 cm²
Answer:
Answer:
54 cm²
Step-by-step explanation:
Each of the 6 faces of the cube has has an area that is ...
A= s²=(3cm)²=9cm²Then the area of the cube is ...
6×9cm²= 54cm²(Please help) The expression (x^16)(x^-24) is equivalent to x^n. What is the value of n?
Answers
Answer:
8
Step-by-step explanation:
Solve 24=3r4. The solution is r=
what is the answer for this?
i tried 2 and it says wrong
Answers
Answer:
r=1.681793,−1.681793
Step-by-step explanation:
Which of the statements about the y-axis are true? I.The y-axis is a vertical number line that passes through the origin.II.The y-axis intersects the x-axis at the point (0 , 0).III.The y-axis is the first coordinate in an ordered pair that describes the vertical distance from the origin.IV.The y-axis is a horizontal number line that passes through the origin.
Answers
Answer:
No i does not well it will be 0,5 or any other number but the x wont change
Step-by-step explanation:
Form and solve an equation for .
2x
x+30
Answers
Answer:
x = 20
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Sum the angles in the triangle and equate to 180
2x + x + 30 + 90 = 180
3x + 120 = 180 ( subtract 120 from both sides )
3x = 60 ( divide both sides by 3 )
x = 20
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Answers
Answer:
III
Step-by-step explanation:
the answer would be the third one because if you divided the three numbers by 3 then they will be 3,5,4 which is a type of right angled triangle...you can also check it with pythagoras theorm.
Answer:
I and III
Step-by-step explanation:
How to tell if a triangle is a right triangle with given sides : If a and b are measures of the shorter sides of a triangle, c is the measure of the longest side, and c2 = a2 + b2, then the triangle is a right triangle. If c2 ≠ a2 + b2, then the triangle is not a right triangle. let us see some example problems based on the above concept.
To determine if the triangle is a right triangle, we use the Pythagorean theorem to test or see if the data agrees. We do as follows: c² = a² + b². 10² = (5√3)² + 5². 100 = 75 + 25. 100 = 100. Therefore, the triangle with the given measurements is a right triangle.
21² + 21² = 29²
and
9² + 12² = 15²
Find the p and q that produce the Pythagorean triple (3, 4, and 5). Please help me, please and thank you! =)
Answers
Answer:
Step-by-step explanation:
Name the inequality!
Answers
Answer:
2nd one
Step-by-step explanation:
A rope 24m long is divided into three pieces in a ratio 1:2:5. The length of the shortest piece in
metre is
Answers
Answer:
3 m
Step-by-step explanation:
sum the parts of the ratio, 1 + 2 + 5 = 8 parts
Divide the length by 8 to find the value of one part of the rope
24 m ÷ 8 = 3 m ← value of 1 part of the ratio
Thus the shortest piece is 3 m
The required length of the shortest piece is 3 meters.
Given that,
A rope 24m long is divided into three pieces in a ratio of 1:2:5. The length of the shortest piece in meters is to be determined.
The ratio can be defined as the comparison of the fraction of one quantity towards others. e.g.- water in milk.
Here,
let the required proportion is equal to x,
then,
x + 2x + 5x = 24
8x = 24
x = 3
Now the lengths
x = 3 meter
2x = 6 meter
5x = 15 meter
Thus, the required length of the shortest piece is 3 meters.
Learn more about Ratio here:
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A cake having a mass of 150g was divided into 2 pieces in the ratio of 3:7. What is the mass of the heavier piece?
Answers
Answer:
105g because 3+7=10 and 150÷10= 15 then 15x3=45 and 15x7=105
Answer this plz I’m stuck on it
Answers
Answer:
The value of the car decreased by 16 percent.
Step-by-step explanation:
First I divided 15,540 by 18,500, and I got .84. Then, I subtracted .84 from 1, and got .16. Then I turned .16 into a percent, and got 16%.
Please help if you can
Answers
Answer:
6 and 19
Step-by-step explanation:
The least value is the leftmost dot on the box plot, and the greatest value is the rightmost dot on the box plot.
Least value = 6
Greatest value = 19
I don’t know if this is correct !!!!!!!!!! Please answer correctly !!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!
Answers
Answer:
hi
Step-by-step explanation:
i think so,
if the two corresponding sides of one triangle are congruent to the two corresponding sides of the other triangle, and the remaining angles between them are equal, then these triangles are similar.
Have a nice day
pls help....which of them is it and no link or I will report
Answers
9 would be the answer
What's 8x3 please help me.
Answers
Answer:
24
Step-by-step explanation:
Answer: Equals 24! Have a great day!
How many photovoltaic cells does it take to power a cell phone?
3
6
9
12
Answers
Answer: 12
Step-by-step explanation:
PLZ HELP THIS IS TIMED!
Answers
Answer:
630
Step-by-step explanation:
(8×15) + (34×15)= 630
What is (-3, -2) reflected over the y-axis
Answers
Answer:
3,-2
Step-by-step explanation:
Answer:
(3, -2)
Step-by-step explanation:
[Cartesian plane]
______________
+y
↑
-x ← — | — → +x
(-3,-2) |
↓
-y
______________
[Flipping over the y axis]
-The reflection will be the-
same distance from the y axis
+y
↑
-x ← — | — → +x
(-3,-2) → | → (3, -2)
↓
-y
What is the percent of change from 800,000 to 600,000?
Answers
Please help I would appreciate it
Answers
Answer:
Lower and upper quartiles(B)
Step-by-step explanation:
What is the sign of - 4x .y. 06 when X and Y are positive numbers?
Choose 1 answer:
A.Positive
B.Negative
C.Zero
Answers
Answer:
Step-by-step explanation: ZERO
prove the identity tan^2x+6=sec^2x+5
Answers
Coom somebody help me with this problem, please.*
*brainiest goes to first answer and correct answers
Answers
Answer:
A. is 4
B. is 3
C. is 1
D. is 2
Hola me podría alguien ayudar con esto? Muchas gracias!
Answers
Answer:
Las respuestas estan a continuacion.
Step-by-step explanation:
Tres mas que un numero = a+3
La diferencia entr eun numero y 5 = a - 5
4 menos que n = 4 - n
Un numero aumenta en 1 = x + 1
Un numero disminuido en 10 = z - 10
El producto de dos numeros = x*y
Dos veces la suma de dos numeros = 2(a+b)
Doce veces un numero sumado a otro = 2a+b
El coceinte de dos numeros = a/b
Un numero aumentado en 3 = x+3
Un numero dismunuido en 2 = a - 2
El producto de m y n = m*n
El antecesor de un numero cualquiera = n - 1
El sucesor de un numero cualquiera = x+1
Espero te haya servido!
find the value of x and y
Answers
If your question is as made by me then the solution is given with it . Hope you find it useful.
The realtion of y is alternative angle.
Solve the system of equations by substitution.
x+y= 0
2x+3y= 3
A. (-3,3)
B. (3,-3)
C. (-1,1)
D. (1,-1)
Answers
2 x -3 = -6
3 x 3 = 9
now add those up
-6+9=3
Answer:
the answer is Option A) ( -3, 3)
Step-by-step explanation:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
( -3, 3)
Which system of equations has the same solutions as the system below? `3x-y=7` `2x+3y=12`
Answers
Answer:
the system : 9x-3y =21
2x+3y = 12
Step-by-step explanation:
hello :
an system of equations has the same solutions as the system below
the system 3x-y=7
2x+3y=12
for exempl : 3×(3x-y)=3×7
2x+3y)=12
means :
9x-3y =21
2x+3y = 12
6x - 2y = 14, 2x + 3y - 6 = 6 has the same solution as the system of equations 3x - y = 7, 2x + 3y = 12
What are system of equations?A system of equations is a collection of two or more equations with a same set of unknowns. In solving a system of equations, we try to find values for each of the unknowns that will satisfy every equation in the system.
Given system of equations
3x - y = 7........................(1)
2x + 3y = 12...................(2)
Multiply equation 1 with 2
2(3x - y) = 2 × 7
6x - 2y = 14
Subtract 6 from equation 2
2x + 3y - 6 = 12 - 6
2x + 3y - 6 = 6
So, 6x - 2y = 14, 2x + 3y - 6 = 6 has the same solution as 3x - y = 7,
2x + 3y = 12
Find out more information about system of equations here
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-3x - 5 = 16
solve for x, thanks.
Answers
-3x=21
x= 21/-3
x= -7
Please answer the problem above
Answers
Answer:
area of rectangle : 180 sq ft
area of triangle : 30 sq ft
area of entire composite figure : 210 sq. ft
Step-by-step explanation:
rectangle : 15*12= 180
triangle : 15*4=60 /2 = 30
entire : 180 + 30 = 210
Unit 8 right triangles and trigonometry homework 4
Answers
Answer:
don’t click the link
Step-by-step explanation:
hey man i’m struggling to but plz don’t click the links. it hacks your devices