Find x, the angle of depression from the top of a lighthouse that is 153 ft above the water level to the waterline of a ship 1071 ft off shore. Round your answer to the nearest tenth of a degree.

Find X, The Angle Of Depression From The Top Of A Lighthouse That Is 153 Ft Above The Water Level To

Answers

Answer 1

Answer:

x = 8.1°

Step-by-step explanation:

Reference angle = x

Opposite side = 153 ft

Adjacent side = 1071 ft

Applying trigonometric ratio (TOA), we have:

[tex] tan(x) = \frac{opp}{adj} [/tex]

[tex] tan(x) = \frac{153}{1071} [/tex]

[tex] x = tan^{-1}(\frac{153}{1071}) [/tex]

[tex] x = 8.1 degrees [/tex] (nearest tenth)


Related Questions

Dave divided 3/5 of a gallon of plant fertilizer evenly among 6 smaller bottles. How many gallons did he put in each bottle?

Whoever answers first gets brainliest please help

Answers

Answer:

Brothers Sorry I don't

Step-by-step explanation:

Please give thanks to all my answers and please mark as brilliant and please follow me

Select the correct answer. What is the range of function m? m(x) = √x - 3 + 1​

Answers

Answer:

i think it is b

Step-by-step explanation:

The range for m is [3, ∞)

What is function?

In mathematics, a function is represented as a rule that produces a distinct result for each input x. In mathematics, a function is indicated by a mapping or transformation. Typically, these functions are identified by letters like f, g, and h. The collection of all the values that the function may input while it is defined is known as the domain. The entire set of values that the function's output can produce is referred to as the range. The set of values that could be a function's outputs is known as the co-domain.

Given:

m(x)= √(x- 3) + 1

For x= 0

m(0) = √(-3) + 1

m(0) = √3i + 1

So, m ≠ 0, 1, 2 because it leads to imaginary value.

Thus, m ≥ 3

i.e., m=4

m(3)= √3-3 + 1= 1

and, m(4)= √(4- 3)+ 1 = 2

Hence, the range for m is [3, ∞)

Learn more about function here:

https://brainly.com/question/12904030

#SPJ5

Plz help! I don’t know how to do these!

Answers

Step-by-step explanation: x = 120 x= 65x= 24

4. x= 40

plz mark my answer as brainlist plzzzz.

hope this will be helpful to you .

☺️

What number is missing from this factor tree for the prime factorization of 328?

A. 39
B. 41
C. 42
D. 82

Answers

answer B. 41

328
/ \
2 164
/ \
2 82
/ \
2 41

Answer: Your Answer Is A) 41

Step-by-step explanation:

             328

              ^

          2 x 164

              ^

          2 x 82

              ^

          2 x 41

A piece of fabric is 2 yards long. The fabric is cut into 24 pieces of equal length.

How long is each piece?

2 inches
3 inches
4 inches
6 inches

Answers

Answer:

3 inches

Step-by-step explanation:

Answer:

3 in

Step-by-step explanation:

5th grade math. Correct answer will be marked brainliest.

Answers

Answer:

1. 38.7

2. 3.87

3. .387

Step-by-step explanation:

1. So when dividing by numbers with exponents specifically 10 which is the most common number to have an exponent with you can look at the exponent and that number is the amount of zeros. So in this question there is 10 to the zeroth power. The amount of zeros would be zero so it is actually 1.

So then 10 to the zeroth power is equivalent to 1. The problem then becomes this: 38.7 / 1 which obviously equals 38.7

2. As I explained earlier, 10 to the first power would be 10 because the exponent number is one so that means the amount of zeros is one.

Equation: 38.7 / 10 which to solve you need to move the decimal to the left which gives you the answer, 3.87

3. The exponent number is 2 so, 10 to the second power is 100.

Equation: 38.7 / 100  

Move the decimal to the right twice and it will give you the answer .387

Please note that when multiplying by powers of 10 you move the decimal point to the left and when dividing by powers of ten you move the decimal to the right.

I am in fifth grade right now and I have 98% and up in all classes so these are kind of easy for me.

can someone help me with a two step equation that will be x=2

Answers

Answer:

i can help

Step-by-step explanation:

Answer:

Step-by-step explanation:

2

While rolling, a wheel with a diameter of 13/2m makes 196 revolutions. Find the distance that is traveled by the wheel. Use for 22/7 for pi​

Answers

Answer:

9.6 m

Step-by-step explanation:

let 'x' be distance traveled

196 = 3.14(6.5)x

196 = 20.41x

x = 196/20.41

x = 9.6

Rectangles HIJK and WXYZ are similar.



Help ❤️

Answers

Answer:

m/3=2/5

Step-by-step explanation:

Determine if the point (4, -3) is a solution
to the following system:
x - y = 4.
2x + y = 5
Determine if the point (4,-3) is a solution

Answers

Not a solution I believe.

find the perimeter and area of the rectangle with vertices (1, -2), (1, 7), (-3, 7), and (-3, -2)

Answers

Answer:

26

Step-by-step explanation:

9+4+9+4=26

S 4xy
when x = 2, y = 5

Answers

Answer: 40

Step-by-step explanation:

Plug in the known values:

4(2)(5) = 8(5) = 40

Answer:

its 40 hope this helps you

Step-by-step explanation:

have a nice day/night

Please help this is due today!

Calculate the unknown missing angle measures.

Do not answer this with one answer ,blank, or a ridiculous answer.... this is serious please.

Answers

Answer:

For ABC A= (-3,3) B= (0.2) and C= (-3,1)

For DFE D= (0,6) F= (2,6) and E= (2,3)

Step-by-step explanation:

I believe tha name of a sequence of transformation will be translation and the Reflection

Hope this Helped

x/(x-2)*(x+2)*(x-1) into partial fraction
​no matter how many times i redo it my answers just not matching with that of my books. can we have different answers?

Answers

Answer:

((-1 + x) (2 + x) X)/(-2 + x)

Step-by-step explanation:

1 (x^(2)x)/(x-2)+(xx)/(x-2)-(2x)/(x-2)

2 (x(x+1)-2)x)/(x-2)

3 (x(xx+x)-2x)/(x-2)

4(x^(2)x+xx-2x)/(x-2)

5 (-2 + x + x^2) X)/(-2 + x)

Root

X = 0 , X-2=0

Roots

X=-2

X=1

Multiply. Write your answer in simplest form. 1/9 x 3/10

Answers

Answer:

1/30

Step-by-step explanation:

When you multiply fractions, you just muliply across,

1*3= 3

9*10= 90

you now have 3/90 but you have to simplify, we know 3 goes into 3 and it also goes into 90 equally

3/3= 1

90/3= 30

So your answer is 1/30!!

I hope this helps!!!!!!!!!!!

Consider C = {vowels in the word "clinic"}. Find n (C)

A. 6

B. 4

C. 2

D. 12

Answers

Answer:

D galiba ama emin değilim

Answer:

C. 2

Step-by-step explanation:

As you know

Vowels are a , e , i , o , u

"Cl 'i' n 'i' c" so that's 2

Which pair of points have equal x-coordinates?
no
B
5
37-8.5
8
+ 1 2 3 4 5 6 7 8 x
2
994019
5
6
S
O points Q and R
O points Q and T
points Rands
Opoints S and T

Answers

8 is the answer to the question

Answer:

option B

Step-by-step explanation:

I did it.

precalc! 50 points! please someone help me i’ll do anything for you

Answers

Step-by-step explanation:

3. We know the x value which is -5 and the y value which is 1. We need to find the hypotenuse which we refer to the r. We use the pythagorean theorem for that

[tex] {x}^{2} + {y}^{2} = {r}^{2} [/tex]

[tex] { - 5}^{2} + {1}^{2} = r {}^{2} [/tex]

[tex]25 + 1 = r {}^{2} [/tex]

[tex]26 = r {}^{2} [/tex]

[tex]r = \sqrt{26} [/tex]

Now let find the sin, csc, and tan.

To find sin let use the formula

[tex] \frac{y}{r} [/tex]

[tex] \frac{1}{ \sqrt{26} } [/tex]

Rationalize the denominator

[tex] \frac{1}{ \sqrt{26} } \times \frac{ \sqrt{26} }{ \sqrt{26} } = \frac{ \sqrt{26} }{26} [/tex]

[tex] \sin = \frac{ \sqrt{26} }{26} [/tex]

To find cosecant, it is the reciprocal of sin so it would be

[tex] \csc = \frac{26}{ \sqrt{26} } \times \frac{ \sqrt{26} }{ \sqrt{26} } = \sqrt{26} [/tex]

To find tan, do

[tex] \frac{y}{x} [/tex]

Which is simply

[tex] \tan= \frac{1}{ - 5} [/tex]

4. Kennedi is correct since in the 2nd quadrant

The x value is negative, and the y value is positive.

Since sin is referred in trig as the y value, sin must be positive.

On a map, Breanne measured the distance (as the crow flies) between Los Angeles, California and San
Francisco, California at 2 inches. The scale on the map is 1/4 inch = 43 miles. What is the actual
straight-line distance between Los Angeles and San Francisco?

Answers

the straight line distance is 344

Where would the shape located after a reflection across the x-axis?

Answers

I think it would be quadrant 2

brain size for football players

Answers

At least 3. Have a nice day! :)

3, 4, or 5, I think, but I'm not sure.

PLEASE ANSWER ASAP FOR BRAINLEST WITH WORK!!!!!!!!!!!!!!!!!!!!!!
here are some screenshots to help figure out the area of the figure!
thank you in advance!
btw im giving out 100 points and a brainlest so make sure to answer correctly.

Answers

Answer:

10

Step-by-step explanation:

I found the anser by multiplying 5 * 4 = 20, and then multiplying 2 * 2 = 4, then 3 * 2 = 6. Next you add 6 and 4, which equals 10. Finally you subtract 10 from 20 to find your answer of ten.

Hope this helps

At lunch time, Benjamin often borrows money from his friends to buy snacks in the school cafeteria. Benjamin borrowed $0.75 from his friend Clyde five days last week to buy chips. Represent the amount Benjamin borrowed as the product of two rational numbers; then, determine how much Benjamin owed his friend last week.

Answers

Answer:

3.75

Step-by-step explanation:

I really hate doing area so someone please help me out

Answers

Answer:

36

Step-by-step explanation:

You have to split it into 3 different sections,

multiply base times height and

all the answers you got.

Answer:

36

Step-by-step explanation

the top box is 6x4

the connecting box is 3x2

the bottom box is 6x1

6x4=24

3x2=6

6x1=6

24+6+6=36

Area=36

#5:20 < 6+(-7x)
HINT! What is an equivalent way to write 6+ (-7x)?
What letter from the chart above matches the
solution to this inequality? Type your answer as a
CAPITAL letter.

Answers

Answer:

the answer i got was x<-2

Step-by-step explanation:

What would be the y- intercept for the function y=3x-6?

Answers

Answer:

the y intercept would be at (0,-6)

A certain financial services company uses surveys of adults age 18 and older to determine if personal financial fitness is changing over time. Suppose that in February 2012, a sample of 1,000 adults showed 410 indicating that their financial security was more than fair. In February 2010, a sample of 1,100 adults showed 385 indicating that their financial security was more than fair.

Required:
a. State the hypothesis that can be used to test for a significant difference between the population proportions for the two years?
b. What is the sample proportion indicating that their financial security was more that fair in 2012?In 2010?
c. Conduct the hypothesis test and compute the p-value.At a .05 level of significance what is your conclusion?
d. What is the 95% confidence interval estimate of the difference between the two population proportion?

Answers

Answer:

The calculated z = 2.85 falls in the critical region z > 1.96 so we accept the null hypothesis that there is no difference between the population proportions for the two years.

Step-by-step explanation:

Let p1 be the sample of 1000 adults chosen in 2012 and

p2 be the sample of 1100 adults chosen in 2010

Part a:

The hypothesis that can be used to test for a significant difference between the population proportions for the two years is:

H0: p1-p2= 0           against the claim      Ha: p1-p2≠0

Part b:

The sample proportion indicating that their financial security was more that fair in 2012 is

p1^= 410/1000= 0.41

In 2010 is:

p2^= 385/1100= 0.35

Part c:

p^c= 410+385/1000+1100= 0.3785

q^c= 1-p^c= 1-0.3785= 0.6124

The critical region is z > ±1.96

The test statistic is

z= p1^- p2^ / sqrt ( p^cq^c( 1/n1+ 1/n2)

z= 0.41-0.35 /sqrt( 0.3785*0.6124(1/1000 +1/1100)

z=  0.06 / 0.021036

z= 2.85

Conclusion

The calculated z = 2.85 falls in the critical region z > 1.96 so we accept the null hypothesis that there is no difference between the population proportions for the two years.

P- value :  0.00466

The result is significant( accept the null hypothesis) for  value less than 0.05

Part d:

                                                     2012                         2010

Sample                                       1000                           1100

Proportions                               0.41                             0.35

Standard Error               √0.41( 0.59)/1000        √0.35( 0.65)/1100

                                               = 0.0155                0.01438

Standard Error for the difference = √0.0155² + 0.01438² =0.0211

p1-p2 ± z* standard error for the difference

0.41-0.35 ± 1.96 *( 0.0211)

0.06 ± 0.041356

-0.018644,   0.101356

The 95 % confidence interval estimate is (-0.018644,   0.10135

How do I solve this
4+(3.7-x)=1.72​

Answers

Answer:

x = 5.98

Explanation:

1. 4+(3.7−)=1.72

2. 4+(−+3.7)=1.72

3. 4−+3.7=1.72

4. 7.7−=1.72

5. −+7.7=1.72

6. −+7.7−7.7=1.72−7.7

7. −=−5.98

Then  simplify to x =5.98

Solve the parallelogram for x MARKINF people as brainlist

Answers

Answer:

in the question there must be the area of the parallelogram given...


1. (-13.8) and (3, 12)

Answers

what’s the question

Hello!

What do you need me to solve?

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