Answers
Answer: About 513 feet
A more accurate value is roughly 512.575960394824
==============================================================
Explanation:
With many trig problems, a diagram should help steer you in the right direction. See below.
The red angle is the angle of depression. It's formed by starting off looking straight horizontal, then we look down 26 degrees. The blue angle adds to the red angle to get 90, so we can see that 26+64 = 90. Or you could say 90-26 = 64.
The goal is to find the value of x, which is the length from B (the lighthouse base) to point C (the ship's location).
The lighthouse is 250 ft tall, meaning AB = 250
We'll use angle BAC, or angle A for short, as the reference angle. This is the blue angle in the diagram.
We have a known adjacent side (AB = 250) and an unknown opposite side (BC = x). We use a tangent ratio to tie these sides together with the reference angle in question. This way we can solve for x.
-------------------
tan(angle) = opposite/adjacent
tan(A) = BC/AB
tan(64) = x/250
250*tan(64) = x
x = 250*tan(64)
x = 512.575960394824
x = 513
The distance from B to C is roughly 513 feet.
I'm rounding to the nearest whole number because the other values given to you are whole numbers.
Related Questions
The values of x and y are directly and one pair of values are given.
write an equation that relates x and y. simplify completely.
x= -4, y =6
Answers
Answer:
The relation is [tex]y = -1.5x[/tex]
Step-by-step explanation:
x and y are directly proportional:
This means that the equation is given by:
[tex]y = ax[/tex]
In which a is the multiplier that relates these two variables.
x= -4, y =6
We use this to find a. So
[tex]y = ax[/tex]
[tex]6 = -4a[/tex]
[tex]a = -frac{6}{4}[/tex]
[tex]a = -1.5[/tex]
So
The relation is [tex]y = -1.5x[/tex]
Fill in the blank
4+ (-15)=
Answers
Answer:
-11
Step-by-step explanation:
4+(-15)=
-11
If 120 L of an acid solution is 75% acid, how much pure acid is there
in the mixture?
Answers
Answer:
25% or 30L
Step-by-step explanation:
100% is 120L, we know 75% is acid, we need the other 25% to make the 100%. 25% of 120 is 30, so 30 liters is pure acid
please help me
is for my daughter
Answers
Step-by-step explanation:
To find 5/6 of the area, multiply the area that was found in part A , as the question states by 5/6.
⅚ × Area found in part A.
2+2 its really really hard its the hardest problem i have ever done
Answers
Answer:the anser is 66
Step-by-step explanation:2=33
33+33=66
Which is a better measure of spread: range or interquartile range? Why?
Answers
The interquartile range is a better measure of spread because, The interquartile range is often seen as a better measure of spread than the range as it is not affected by outliers.
hope it helps.
have a good day.
Answer:
She's correct
Step-by-step explanation:
EDG 2021
40 POINTS PLS HELP I WILL ALSO GIVE BRAINLY (ANSWER THE BOXES ON BOTTOM RIGHT)
Answers
Answer: See explanation
Step-by-step explanation:
ΔLNM and ΔLKN are 30°- 60°- 90° triangles
We have to find the length of LN before we can find the length of MN.
In a 30°- 60°- 90° triangle, the length of the hypotenuse is 2 times the length of the shorter leg, and the length of the longer leg is the length of the shorter leg times √3
Since the hypotenuse is 6, the short leg would be 3 since the hypotenuse is 2 times the length of the short leg.
LN = √3 times the shorter leg
3 × √3 = 3√3
LN = 3√3
We now know the length of the longer leg in ΔLNM (3√3)
MN would be 3√3 × √3
3√3 × √3
= 3√9
= 3 × 3 = 9
MN = 9
ΔLKM is also a 30° - 60° - 90° triangle
The short leg is 6 m
The hypotenuse would be 12 m
The longer leg would be 6√3
Perimeter: 6 + 12 + 6√3
The perimeter is 18 + 6√3
Area: 1/2 × b × h
b = 6√3
h = LN = 3√3
6√3 × 3√3
18√9 = 18 × 3 = 54
Area: 54 m²
Hope it helps!!
What are the advantages and disadvantages of bar chart
Answers
Answer:
Advantages:
● Bar charts are pretty easy to interpret, and there's a very clear relationship between size and value that allows easy comparison.
● They're simple to make and most people have experience creating and understanding them from school.
● They can help in presenting very large or very small values more emphatically.
Disadvantages:
● Bar charts that attempt to represent wide ranges of numbers will struggle to efficiently communicate their message. For example, a bar chart for the numbers 5, 6, 10 and 378 will lend extreme visual weight to the highest value and make the relative values of the other measurements appear irrelevant. An alternative to this would be creating an adjusting scale for the bars, but this complicates the visual aspect of the presentation and breaks the intuitive sense that size correlates directly to value.
● Bar graphs tend to be locked into a particular data set, making it hard to show multiple values or changes over time unless the chart is modified, such as by making the bars layered and three-dimensional.
I hope it's helpful!
Answer:
Advantages:
Bar charts are pretty easy to interpret, and there's a very clear relationship between size and value that allows easy comparison.They're simple to make and most people have experience creating and understanding them from school.They can help in presenting very large or very small values more emphatically.Disadvantages:
Bar charts that attempt to represent wide ranges of numbers will struggle to efficiently communicate their message. For example, a bar chart for the numbers 5, 6, 10 and 378 will lend extreme visual weight to the highest value and make the relative values of the other measurements appear irrelevant. An alternative to this would be creating an adjusting scale for the bars, but this complicates the visual aspect of the presentation and breaks the intuitive sense that size correlates directly to value. Bar graphs tend to be locked into a particular data set, making it hard to show multiple values or changes over time unless the chart is modified, such as by making the bars layered and three-dimensionalPlease help for brainliest.
Answers
Answer:
not sure but I think it's B... I'm so sorry if it's wrong!
Step-by-step explanation:
Nice to meet you❤️
SIGNIFICANCE OF OPERATION RESEARCH IN MODERN MANAGEMENT
Answers
(18 POINTS) PLEASE HELP me! thanks!
Answers
Answer:
2 \frac{1}{4}
11x + 4y = -46
7x – 4y = 10
Answers
Please please help me please
Answers
Answer:
a and c
Step-by-step explanation:
I think a and c would work for this problem
Chcies needs a cabeat is 11 inches long the cable costs $1.20 per centimeter how such would be pas for the table Shehu
set up the calcuno sales problem
Answers
Answer:
1.20 times 11. I hope it helped!
which one is greater 3 with the power of 2 or 2 with the power of 3 tell me why
Answers
Answer:
3 with the power of 2
Step-by-step explanation:
This is greater because when you multiply 3 by 3 you get 9, and when you multiply 2 x 2 x 2 you get 8
find the area
__________
Answers
Answer:
21+10.5
=31.5 ²
....
...
....
Solve each inequality and give your answers in interval notation:
|9x – 11 < 4
16x – 31 > 2
Submit Question
Answers
Answer: for |9x – 11 < 4
7/9<x<5/3
Step-by-step explanation:
interval notation:
(7/9 , 5/3)
According to Wikipedia, the average weight of an adult male in the U.S. is 197.7 pounds with a standard deviation of 18 pounds, while the average adult female weighs 168.7 pounds with a standard deviation of 15 pounds. Both weights vary according to a Normal distribution.
7.) If you randomly selected one adult woman, what is the probability that her weight exceeds (is higher than) 130 pounds?
Suppose you randomly selected one adult male and one adult female from the entire U.S. population. Let the variable D = the difference in their weights (male – female).
8.) Calculate and interpret the mean of D.
9.) Interpret your answer from #8 in context.
10.) Calculate the standard deviation of D.
11.) Calculate the probability that the randomly selected male would weigh less than the randomly selected female.
Answers
ABC is a straight line.
빙
A
в с
The length of AB is four times the length of BC.
AC = 75 cm.
Work out the length of AB.
mi
i
Answers
answe ac
Step-by-step explanation:because 827.0837
what is the rule when multiplying or dividing by a negative number to solve inequalities?
Answers
Example: if x > -y and you divide both sides by (-1) then you flip the inequality so: -x < y
PLEASE HELP ME!
What is radiant energy? Give an example.
Answers
Answer:
Radiant energy is the energy of electromagnetic waves.
Step-by-step explanation:
I
Radiant energy is energy that is transferred by electromagnetic radiation.
Example:
The heat emitted from a campfire.
Find x. Round to the nearest tenth.
4
6
5
Answers
Answer:
7.5
Step-by-step explanation:
The ratio between the two numbers in each set are the same, so the process used to get from 4 to 6 could also be used to find x. 6/4=1.5, so 4*1.5=6. Multiplying 5 by 1.5 would get x. 5*1.5=7.5, so x=7.5.
Working 4 hours for $7.00 per hour.
Answers
Answer:
You will have 28 dollars in 4 hours
Step-by-step explanation:
4 x 7 =28
Please help me with this):
Answers
Answer:
It would be 11/3
Step-by-step explanation:
A student had $16.08 in his lunch account on Monday. By the end of the day on Thursday, he had spent $11.25. How much money was left in his lunch account to use for Friday? *( wrong answers only)
Answers
420.69
Step-by-step explanation:
He lunch was fire
HEY PLEASE HELP ME ASAP I NEEEEEED HELP
Answers
I hope this was quick enough haha, have a nice day and remember that Jesus loves you <3
What is the length of BC please help I’ll give you BRAINLIEST
Answers
Answer:
3.8
Step-by-step explanation:
use pythagoras theorem
a^2+b^2=c^2
a^2+5^2=6^2
a^2+25=36
a^2=36-25
a^2=11
a=3.3
but on the answers provided write 3.8 because its close
Pls help due tonight. BRIANLIEST IF CORRECT. Prob easy tho.
Answers
-6 x -2 = 12
lma.oooo im just answering so u can give the first guy brainliest ^^
PLEASEE HELP MEH I WILL GIVE U BRAINLIST!!!!!!
Answers
Answer:
I will first divide the shape into two rectangles. first rectangle area would be 60x15=900mm^2. next rectangle is 20x30=600mm^2. 900+600=1500mm^2. the area is 1500mm^2, which is answer D
Step-by-step explanation:
Mark me brainliest and I give you luck boost on the test :)
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