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.
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Name the inequality!
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Answer:
2nd one
Step-by-step explanation:
Answer this plz I’m stuck on it
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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%.
Form and solve an equation for .
2x
x+30
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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
(Please help) The expression (x^16)(x^-24) is equivalent to x^n. What is the value of n?
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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:
Unit 8 right triangles and trigonometry homework 4
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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
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
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!
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:
brainly.com/question/13419413
#SPJ5
-3x - 5 = 16
solve for x, thanks.
Answers
-3x=21
x= 21/-3
x= -7
PLZ HELP THIS IS TIMED!
Answers
Answer:
630
Step-by-step explanation:
(8×15) + (34×15)= 630
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
https://brainly.com/question/9351049
#SPJ2
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Answer:
III
Step-by-step explanation:
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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
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I don’t know if this is correct !!!!!!!!!! Please answer correctly !!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!
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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
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Answer:
Lower and upper quartiles(B)
Step-by-step explanation:
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= 54cm²Which 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.
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Answer:
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Step-by-step explanation:
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If your question is as made by me then the solution is given with it . Hope you find it useful.
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Answer:
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Step-by-step explanation:
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(3, -2)
Step-by-step explanation:
[Cartesian plane]
______________
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↑
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↓
-y
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[Flipping over the y axis]
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+y
↑
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↓
-y
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Answer:
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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?
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Answer:
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2 x -3 = -6
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Step-by-step explanation:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
( -3, 3)
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9 would be the answer
How many photovoltaic cells does it take to power a cell phone?
3
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9
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Step-by-step explanation:
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Step-by-step explanation:
Answer: Equals 24! Have a great day!
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Answer:
Step-by-step explanation:
Please help if you can
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Answer:
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The least value is the leftmost dot on the box plot, and the greatest value is the rightmost dot on the box plot.
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Choose 1 answer:
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Answers
Answer:
Step-by-step explanation: ZERO