At an angle of elevation 610
captain on a ship noticed a person on the top of a cliff waiving towards the ship. To see him better, the captain moved his ship 92m closer to the cliff. The angle of elevation at that
moment was 690. Determine the height of the cliff to the nearest tenth of a meter.
Answers
Answer:
The height of the cliff CD is approximately 539.76 m
Step-by-step explanation:
The given parameters are;
The first angle of elevation with which the captain sees the person on the cliff = 61°
The second angle of elevation with which the captain sees the person on the cliff after moving 92 m closer to the cliff = 69°
The angle made by the adjacent supplementary angle to the second angle of elevation = 180° - 69° = 111°
∴ Whereby, the rays from the first and second angle of elevation and the distance the ship moves closer to the cliff forms an imaginary triangle, we have;
The angle in the imaginary triangle subtended by the distance the ship moves closer to the cliff = 180° - 111° - 61° = 8°
By sine rule, we have;
AB/(sin(a)) = BC/(sin(c))
Which gives;
92/(sin(8°)) = BC/(sin(61°))
BC = (sin(61°)) × 92/(sin(8°)) ≈ 578.165 m
BC ≈ 578.165 m
The height CD = BC × sin(69°)
∴ The height of the cliff CD = 578.165 m × sin(69°) ≈ 539.76 m.
The height of the cliff CD ≈ 539.76 m.
Related Questions
60 percent of a number is 66. Which proportion best represents this relationship.
Answers
Answer:
Step-by-step explanation:
If 60% or .60 of a number is 66, then we write and equation to solve for the original number, x.
.6x = 66 Divide each side by .6
.6x/.6 = 66/.6
x = 66/.6
x = 110
as a proportion it would be:
60:100 = 66:110
The proportion that best represents the given relationship is 110 and this can be determined by using the unitary method.
Given :
60 percent of a number is 66.
The following steps can be used in order to determine the proportion that best represents the given relationship:
Step 1 - The unitary method can be used in order to determine the proportion that best represents the given relationship.
Step 2 - Let the unknown number be 'a'.
Step 3 - According to the given data, the value of 'a' can be calculated as:
[tex]a = \dfrac{100}{60}\times 66[/tex]
Step 4 - Simplify the above expression.
[tex]a = 110[/tex]
So, the proportion that best represents the given relationship is 110.
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Chanelle deposits $7500 into the bank. She does not withdraw or deposit money for 6 years. She
earns 6% interest during that time.
a) How much interest will she have earned at the end of 6 years?
b) What will the balance be when she is finally able to withdraw the money?
Answers
Answer:
A: she will earn 450$ interest
B:the balance will be 7950$
hope that helps
Step-by-step explanation:
Help please! Thanks, answer only if you know how to do this.
Answers
Answer:
2 radians
Step-by-step explanation:
The ratio of the arc length to the circumference is the same as the measure of angle AOB in radians to 2pi. 2pi radians is a full circle. We can now construct an equation, with x being our answer.
[tex]\frac{6}{6\pi } =\frac{x}{2\pi } \\\frac{1}{\pi } =\frac{x}{2\pi }\\1=\frac{x}{2} \\2=x[/tex]
First, we try to simplify both sides. Next, we multiply both sides by pi. Then, we multiply both sides by 2. Finally, our answer is 2, so 2 radians.
Pleaseee ANWSER ASAP!!!!
Answers
Hi anyone know the answer to this? Ill give brainliest immediately!!!! :)
Answers
The line has a slope of 1/2 and a y intercept of (0,3) that matches option c. To graph an equation, Find points: pick simple values of x and find the corresponding values of y. ...
Using the slope and y-intercept: use the concept of “rise over run” and the y-intercept to find points on the graph. ...
Using the x- and y-intercepts: let x=0 and y=0 to find the intercepts of the graph.
1. Lisa is saving $50 that she received from her grandmother. She earns $6 each time she walks her neighbor's dog, which she also saves. Which function can be used to find f, the amount of money Lisa will have saved after walking the neighbor's dog d times? A. F = 50d + 6 B. F = −6d + 50 C. F = −6d + 44 D. F = 6d + 50
Answers
Answer:
Option D. is the correct answer.
The function that can be used to find f, the amount of money Lisa will have saved is F = 6d + 50
Step-by-step explanation:
From the question,
Lisa is saving $50 that she received from her grandmother,
Also, she earns $6 each time she walks her neighbor's dog, which she also saves.
Now, to determine the function that can be used to find the amount of money Lisa will have saved after walking the neighbor's dog d times, we will determine how much she will earn from walking the dog d times and then add it to the money she received from her grandmother. \
If she earns $6 each time she walks her neighbor's dog, then
she will earn $6×d if she walks the neighbor dog for d times.
$6 × d = $6d
Hence, she will earn $6d from walking the dog d times.
The total amount she will have saved will be $6d + $50.
Hence, the function that can be used to find f, the amount of money Lisa will have saved is F = 6d + 50.
Option D. is the correct answer.
Answer:
d
Step-by-step explanation:
the thang
Hi I need this for Geometry im also posting more questions to this same triangle on my account if you don't mind answering them. Thank you! It would really help since I'm not doing well in this class!
Answers
Answer:
a reflection across line bc
Step-by-step explanation:
maybe, I think so
Which table represents a
relationship that is not a function?
PLEASE HELP 16 POINTS?!??
BRAINLIEST IF YOU HELP?!?
Answers
Answer:
H.
Step-by-step explanation:
H is not a function because its x-values occur more than once.
HTH :)
CAN SOMEONE PLS HELP ME ! pls im begging, I’ll give u brainliest
Answers
Answer:
Step-by-step explanation:
15. Marcus wants to carpet the floor of his bedroom. If the carpet costs $23.99 per square meter, how much will he pay?
Need this answer nowwwwwwwww
Answers
Helpp me pls for this one
Answers
Answer:
5
Step-by-step explanation:
Which of the following could NOT be the measures of the angles of a triangle?
A. 600-60°-60°
O B. 70°-50-70°
OC. 40°-400-100°
D. 30°-120°-30°
Answers
the angles of a triangle always equals 180 degrees, so all of them cant be the measure of the angles of a triangle except for D
Luis rides his bicycle 3/4 mile in 15 minutes, or 1/4 hour, along the bike trail. Assuming he rides at a constant rate, what is his speed, in miles per hour?
Answers
Answer: 3
This is because 15 times 4 equals 60 and that is equal to 1 hour, well when your multiplying fractions what you do to the bottom you have to do to the top so multiply 3 times 4 thats 12 and now you have 12/4 and that is equal to 3.
rearrange x = 3g + 2 to make g the subject .
Answers
Answer:
g = (2-x)/3
Step-by-step explanation:
PLS GIVE BRAINLIEST
pula pays 419.92 for 2.4 pounds of walnuts .What is the price per pounof waluts ?
Answers
How I did it:
419.92 / 2.4 = 174.966 which rounds to 174.97$
ABCD~FECG similar polygons
Answers
Answer:
120
Step-by-step explanation:
Given h(x) = -x + 2, solve for x when h(x) = -3.
;-;
Answers
-2 -2
-5 = -x
/-1 /-1
5 = x
The value of x when h(x) =-3 is 5.
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
h(x) = -x + 2
Now, we have to find the value of x when h(x)= -3
So, h(x)= -3
-x+ 2= -3
Now, Subtracting 2 from both side
-x+ 2 -2= -3 -2
-x = -5
x= 5
Hence, the value of x is 5.
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Ok I know about the vertical Line thing but this has got me confuzled! Can someone help! Will give crown to first answer that is correct!
Answers
Answer:
sorry but u the best u always help me
How do i get brainleset
Answers
Answer:
To get brainlieist you have to answer people's questions and if they think it was the best answer they will mark you ad brainlieist.
True or False. a radius is a segment that connects any point on the circle to the center of that circle.
Answers
Answer:
True
Step-by-step explanation:
Answer:
true
Step-by-step explanation:
Think about it as a disk, if you were to draw a line starting at the edge of the disk and tried to draw it to the center of it you would be able to do it from any point along the outside of the circle.
Triangle A B C. Angle B is 60.8 degrees and angle C is 57.1 degrees. Triangle X Y Z. Angle Z is 60.8 degrees and angle Y is 59.1 degrees.
Answer the questions about these triangles.
Which is the measure of angle A?
Which angle corresponds to angle A?
What can be concluded about these triangles?
Answers
Answer:
62.1
angle Y
the triangles are not similar
Step-by-step explanation:
Answer:
Which is the measure of angle A?
✔ 62.1 degrees
Which angle corresponds to angle A?
✔ angle Y
What can be concluded about these triangles?
✔ The triangles are not similar.
Step-by-step explanation:
Which of the following are NOT discrete data?
1) Number of eggs laid daily by the chickens on a farm.
2) Number of actors in a
Hollywood film.
3) Acceleration of an aeroplane on take-off.
4) Shoe size
Answers
I’m not sure but I wanted to help :)
Elon sent a chain letter to his friends, asking them to forward the letter to more friends. The relationship between the elapsed time, t, in days, since Elon sent the email, and the total number of people who receive the email, P(t), is modeled by the following function: P(t)=4×3^t
Answers
Answer:
Growing by 3's
Step-by-step explanation:
Every day, the number of people who receive the email increases by a factor of 3.
We have,
In the function, P(t) = [tex]4 \times 3^t,[/tex] the base of the exponent is 3.
This means that for each additional day (t), the exponent increases by 1, and multiplying by 3 represents the growth factor.
For example, if we consider t = 0 (the day Elon sent the email), we substitute t = 0 into the function:
P(0) = 4 * [tex]3^0[/tex] = 4 * 1 = 4
On the first day, 4 people received the email.
If we consider t = 1 (the day after Elon sent the email):
P(1) = 4 * [tex]3^1[/tex] = 4 * 3 = 12
On the second day, the number of people receiving the email increased by a factor of 3 (from 4 to 12).
Similarly, on the third day:
P(2) = 4 * 3² = 4 * 9 = 36
The number of people receiving the email increased by a factor of 3 (from 12 to 36).
This pattern continues, and for each additional day, the number of people who receive the email increases by a factor of 3.
Therefore,
The number of people who receive the email increases by a factor of 3 every day.
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Nate has an account that pays 2.76% simple interest per year and wants to accumulate $3,090 in interest from it over the next 15 years. How much money should Nate invest in this account to meet this goal?
a
$4,369.26
b
$4,373.77
c
$1,279.26
d
$7,463.77
Answers
Answer:
To achieve this goal, he must invest $7,463.77 ( d)
Step-by-step explanation:
mathematically;
simple interest = PRT/100
I = 3,090
P = ?
R = 2.76%
T = 15 years
3,090 = P * 2.76 * 15/100
100 * 3090 = 41.4 P
P = 309000/41.4
P = 7,463.77
Determine if the Sequence is Arithmetic. 1,3,9,27,81,...
A) Arithmetic
B) Not Arithmetic
Answers
Answer:
Arithmetic
Step-by-step explanation:
Each number is multiplied by three
Answer:
No, this isn't an Arithmetic Sequence
Step-by-step explanation:
An Arithmetic Sequence should have a constant. There are several differences in the Sequence, but no constant difference.
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celinesaydawi
Whats 10.53+14.5+6.9+6.3+6.8
Show all your work or else don't answer at all.
Answers
Answer:
10.53+14.5+6.9+6.3+6.8
=25.03+6.9+6.3+6.8
=31.93+6.3+6.8
=38.23+6.8
=45.03
Step-by-step explanation:
I think that can help :) wanna chat add me as friend
can someone help, i dont need step by step or anything <3
Answers
Solve
(Very easy 6th grade math)
Answers
Answer:
D
Step-by-step explanation:
Answer:
Number 3 because it is closet the 12.
Step-by-step explanation:
Henry can write 5 pages of his novel in 3 hours
How many pages can Henry write in 8
hours
Answers
Answer:
13 1/3
Step-by-step explanation:
HELP ME PLEASEEEEE
Kim has $250 to spend on a rental car for her trip. The rental car company charges a fee of $130 plus $0.10 per mile. Kim used the inequality to calculate the maximum number of miles, m, she could drive the rental car.
Which inequality expresses the maximum number of miles Kim can drive the car?
m < 3,800
m < 120
m < 380
m < 1,200
Answers
Answer:
m < 1,200
Step-by-step explanation:
250 - 130 = 120
120 / 0.10 = 1,200
Equation: 130+0.10m=250
Answer: 120
