a sailor sights the top of a 200-foot cliff at a 17 degree angle of depression. how far is the boat from the base of the cliff​

Answers

Answer 1

The boat is roughly 654ft away from the base of the cliff.

Step-by-step explanation:

We have the angle 17°

The side opposite the angle is 200ft.

We want to find the length of the adjacent side.

So what equation has Opposite and Adjacent in it?

Tangent. (Remember SOH-CAH-TOA)

Tan = opp/adj

Tan(theta°) = opp/adj

Rearranging,

adj = opp/tan(theta°)

adj = 200/tan(17°)

adj = 654.17ft

And to double check you answer,

° = tan^-1(opp/adj)

° = tan%-1(200/654)

° = 17°


Related Questions

The Cheer Squad is raising money to pay for their trip to the State Finals. They already have $1200 and they are selling really big candy bars for $10 each
If they need at least $3000, how many candy bars do they need to sell? Write an inequality and solve it

Answers

Answer:

10c + 1200 ≥ 3000, c≥ 180

Step-by-step explanation:

We know that they need at least $3000; meaning, it may be $3000 or more. This leaves us with eliminating the bottom two choices.

We then look at the first two choices. If we were to subtract from 1200, we would not know the total income amount that has been gained. It would also eventually give us negative numbers. We cannot have a negative amount earned. Instead, we would use the 10c+1200 because this would allow us to visualize that it needs to be greater than or equal to 3000

Is 20 quarts greater, less than, or equal to 80 cups

Answers

Answer:

20 quarts is equal to 80 cups

Write an explicit formula for the following sequence 25, 75, 225, ...

Answers

You can say 3x (or multiplying each number by 3)

Determine the coordinate of the point where y=x-7 crosses the y-axis

Answers

Answer:

(0, -7)

Step-by-step explanation:

Answer:

0,-7

Step-by-step explanation:

You can either graph it onto a calculator/desmos, or you can solve for y by making x=0 then your just left with y=-7

DOES ANYONE UNDERSTAND QUADRATIC APPLICATIONS FOR ALGEBRA 1???? PLS DONT RESOND IF YOU DINT KNOW

Answers

Answer:

1 ) Vertex form.

2 ) Standard form.

3 ) I'm not sure about this one, but there are only 3 forms, in which the last one is factored form, and the other two are above, so it must be factored form.

Step-by-step explanation:

1 ) Vertex form : y = a( x - h )² + k

Vertex form shows you where the vertex(the lowest/highest point aka ( h, k ) ) of the parabola is, without graphing it. (But you could graph it and find the vertex like that, I recommend you use desmos graphing)

2 )Standard form : y = ax² + bx + c

Standard form can be used to show the y-intercept( aka c ), in this case, where the snowball was thrown from. (Again, you can graph it and find where he parabola hits the y axis)

3 ) Factored form : ( ax + c )( bx + d )

Factored form tells us the x-intercepts, or in this case where the snowball landed or how long the snowball is in the air. (like i said, you could graph it, and find the points(there could be only one or maybe none in some cases) that are on the x axis)

I know this was four days ago, but I hope this helped you understand a little better.

I have 20 min left pls help!!

Answers

Step-by-step explanation:

5: 24

6: 39.3

7: 89.22

8: 691.15

Answer: suck to be you

Step-by-step explanation:

which equation has the least steep graph?
A. y= -3/4x-9
B. y=-7x-2
C. y=1/4x+6
D.2x+1

Answers

It would be b it has the steepest graph

Answer:

B. y=-7x+6

Step-by-step explanation:

Sana makatulong :-)


can somebody pls help me with this quickly

Answers

Answer:

1)

50% = 0.5

60(0.5) = 30

2)

10% = 0.1

60(0.1) = 6

3)

75% = 0.75

60(0.75) = 45

6 minutes is 10% of 60
45 minutes in 75% of 60 minutes

1. What type of circle would you use when graphing x≥ 5
A. Open
B. Closed
C. A triangle
D. A square

2.Solve the following inequality x−3>7
A. x>10
B. x<10
C. x>4
D. x<4

Answers

1. Open
2. D
Hope this help you

Answer:

What type of circle would you use when graphing x≥5: I do not know sorry :(

When graphing x≥5 on a number line, you would point your arrow which way?

:To the right

Solve the following inequality

x−3>7: x>10

Step-by-step explanation:

I did the math :)

hello please help i’ll give brainliest

Answers

Answer:

Energy from the sun changes liquid water to a gas.

Step-by-step explanation:

Answer:

the 2nd choice

Plz help me with this question

Answers

Answer:

.24

Step-by-step explanation:

One pack of marbles cost $0.24

Elizabeth has a lot of jewelry. She has four times as many earrings as watches and twice as many necklaces as watches.
- If Elizabeth has 42 pieces of jewelry, how many necklaces, earrings, and watches does she have?

Answers

Answer:

6 watches, 12 necklaces, and 24 earrings.

Step-by-step explanation:

turn the number of watches into x

42 = 4x + 2x + x

42 = 7x

x = 6

she has 6 watches, 12 necklaces, and 24 earrings

20. कति महिनामा रु. 1000 को व्याज 10%थामा
मिश्रधन रु. 1200 हुन्छ।
In how many months, the amount of Rs 100
the rate of 10% will be Rs 12002 AMA​

Answers

Answer:

24 months is a required time

Step-by-step explanation:

principal p=Rs 1000

time t=t/12 months

simple interest SI=Rs 1200-1000=rs200

rate r=10%

we have

SI=P×T×R/100

200=1000×T×10/100

200=100T

T=200/100=2years =2×12=24 months

In a certain candy store, 3 pounds of candy and 2 pounds of mints cost $10.80, and 1 pound of candy and 3 pounds of mints cost $5.35. What is the cost per pound of the candy and the mints?

If m = price of mints and c = price of candy, then which of the following expressions is equal to 5.35?

Answers

Answer:

m = 0.75well 1.7 bc 5.35/3=1.7 This is the cost per pound of the mints.

Step-by-step explanation:

From this sentence >> 3 pounds of candy and 2 pounds of mints cost $10.80

you can make-up an equation >> 3c + 2m = 10.80 right?

That's your first equation, 3c + 2m = 10.80 ... (1)

and from this sentence >> 1 pound of candy and 3 pounds of mints cost $5.35

you can make-up an equation >> c + 3m = 5.35 ... (2)

you can use various methods here, like graphing, substitution, comparison, and elimination method.

Let's try using substitution method.

3c + 2m = 10.80 ... (1)

c + 3m = 5.35 ... (2) << here you can come up with c = 5.35 - 3m then substitute it to (1)

3c + 2m = 10.80 ... (1)

3(5.35 - 3m) + 2m = 10.80

16.05 - 9m + 2m = 10.80

-7m = -5.25

m = 0.75 <<This is the price of the mint

to get the price of candy, simply substitute m = 0.75 to (1) or (2) if you want, it depends on you.

Either way, you will have the same answer.

Let's try substituting in (1)

3c + 2m = 10.80 ... (1)

3c + 2(0.75) = 10.80

3c + 1.5 = 10.80

3c = 9.3

c = 3.1 <<this is the price of the candy

was difiqult hope this helps!!!!!

a bag of 40 marbles had 8 white marbles.What is the probabilty of picking a white marble

Answers

Answer: 8 / 48 or 1 / 6 (simplified).

Step-by-step explanation:

There are 48 marbles in the bag.

8 out of the 48 marbles are white, that's why the probability is 8/48 or 1/6.

Evaluate the following if a = 3,b= -2 and c = 1

a3 - 2bc +5ac

Answers

Answer:

28

Step-by-step explanation:

(3)×3 - 2×(-2)×(1) + 5×(3)×(1)

9 - -4 + 15 = 28

Answer:

46

Step-by-step explanation:

Given

a³ - 2bc + 5ac ← substitute values for a, b, c into the expression

= 3³ - (2 × - 2 × 1) + (5 × 3 × 1)

= 27 - (- 4) + 15

= 27 + 4 + 15

= 46

If 3x - 2 = -x + 10, then x =

Answers

Answer:

3x-2 = -x+10

or, 3x+x=10+2

or, 4x=12

or, x=12/4

So, x=3

Answer: 3

Step-by-step explanation:

Step 1: Add x to both sides.

3x−2+x=−x+10+x

4x−2=10

Step 2: Add 2 to both sides.

4x−2+2=10+2

4x=12

Step 3: Divide both sides by 4.

4x

4

=

12

4

PLZ HELP 100 POINTS PLU BRAINLIEST FOR CORRECT ANSWERS

Answers

Answer:

d. x

Step-by-step explanation:

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

x/1 since 2x-1/2x-1 cancels

x

2°y? – 52ºy23
Select the correct response
Degree = 6
Number of terms = 2
Name = Binomial
Leading Coefficient = 5
21
Degree = 7
Number of terms = 2
Name = Binomial
Leading Coefficient = -5
Degree = 7
Number of terms = 2
Name = Binomial
Leading Coefficient = 5

Answers

Answer:

degree of the polynomial = 7

Number of terms = 2

Name = binomial

leading coefficient = 5

Step-by-step explanation:

The polynomial is x³y² - 5x³yz³

The degree of a polynomial is the highest exponent of any of its variables.

But in this case where we have two variable together, we sum up their exponents and the Hughes one will be the degree of the polynomial.

Thus;

x³y² has a degree of 3 + 2 = 5

5x³yz³ has a degree of 3 + 1 + 3 = 7

Thus,7 is the highest and the degree of the polynomial is 7.

There are two terms which are x³y² and 5x³yz³

Since it has two terms, it is a binomial.

To get the coefficient, I will rearrange in descending order of degree;

-5x³yz³ + x³y²

Thus, leading coefficient = 5

Identify the absolute value of: |4|
A. - 2
B. - 4
C. 2
D. 4

Answers

D.. Hope this helpsssss

Answer:

D. 4

Step-by-step explanation:

The absolute value of anything is just the positive form... it doesn't mater if it was originally a positive or negative.

WILL AMRK BRAINLIEST IF GOTTEN RIGHT

Answers

Answer:

4.24 aq. in. I think

Step-by-step explanation:

Can someone please help me with geometry. Honestly I need help. Let me know please! :)

Answers

Answer:

Hey I want to try and help you out but can I know which grade you are?

"hypotenuse" of the triangle: if the height is 24 feet and base is 36 feet.

Answers

Answer:

43.27

Step-by-step explanation:

(24×24)+(36×36)= 1872

√1872=43.27

Using the Pythagorean theorem:

Hypotenuse = sqrt( 24^2 + 36^2)

Hypotenuse = sqrt(576 + 1296)

Hypotenuse = sqrt(1872)

Hypotenuse = 2sqtt(469) or 43.266

Can someone pls help me with this escape room. This is my last question, I just cant figure out the code. Pls help.

Answers

Answer:The code is simple the answer is googl

Step-by-step explanation:

Solve using elimination

y = 5x+4

y = 2x+7

Show work plz

Answers

Answer and Step-by-step explanation:

5x + 4

2x + 7

Multiply 5x + 4 by 2, and 2x + 7 by 5.

   10x + 8

-   10x + 35

_________

-27 is the answer

#teamtrees #PAW (Plant And Water)

Which statement about correlation and causation is true?
A) Correlation implies causation.
B) Causation implies correlation.
C) No correlation implies causation.
D) No causation implies no correlation.

Answers

Answer:

c.

Step-by-step explanation:

Answer:

No correlation implies causation.

Step-by-step explanation:

I just took the test. The person above me is right! :)

I need help asap!!!!!!!!!

Answers

Answer:

T,p,s

Step-by-step explanation:

6.04,6.7,6.8

Please help!! Find the missing length indicated.​

Answers

The answer is 56 so none of these answers are correct..... hope this helps!

Nina's monthly budget is $2,250. Every month she makes the following payments: $175 for insurance $129 for utilities $283 for taxes Which is the highest house payment she can afford? A. House A - monthly payment: $1,580.89 B. House B - monthly payment: $1,790.25 C. House C - monthly payment: $1,989.23

Answers

Answer:

A - monthly payment: $1,580.89

Step-by-step explanation:

175 + 129 + 283 =  587

2,250 - 587 = 1,663

1989.23 (More then she has left

1790.25 (More then she has left

1580.89 (less then she has left

A > monthly payment: $1,580.89

What is the two ratios equivalent to 3 to 4

Answers

Answer: 8 : 6

Step-by-step explanation:

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