Mathematics High School

In the diagram below, the angle of depression from the top of the lighthouse to a speed boat is 27 degrees. The base of the lighthouse is 33 ft away from the boat. Determine the height of the lighthouse, to the nearest tenth of a foot.

Answers

Answer 1

Answer:

412

feet

Step-by-step explanation:

The angle of depression is always measured from the horizontal.

A triangle is formed by the lighthouse, the ground and the boat. The angle of depression is not in the triangle, but it is equal to the angle of elevation at the boat. (Alternate angles on parallel lines)

The angle at the top of the lighthouse, inside the triangle is:

90°−27°

=63°

The distance to the boat is the side opposite the angle of

63°

while the height of the lighthouse is the adjacent side.

opposite

adjacent

=tan 63°

distance

210=tan 63°

distance=210×tan 63°=412 feet

Answer 2

Answer:

breh

Step-by-step explanation:

Related Questions

Please help asap!!please im stuck

Answers

Rectangle:
F&B: 24 (front is 24, back is 24)
T&B: 56
L&R: 21
Total: 202

Cylinder:
T&B: 50.27
Middle: 32pi or 100.53 (to 2 d.p.)
Total: 201.06 (to 2 d.p.)

Triangular Prism:
F&B: 24
B: 66
L: 88
R: 110
Total: 312

I think these are right (^^)

If (a, -7) is a solution to the equation 8a = –35 – 5, what is a?

F. -1

G.O

H. 1

J. 4

Answers

Answer:

Step-by-step explanation:

I worked this out and I got 4

I think it is right

hope this helps :)

What’s the length of the missing side

Answers

Answer:

six

Step-by-step explanation:i had the same test

Answer:

Step-by-step explanation:

In order to create a system of equations with the same solution as the system {x+y=102x+y=14, { x+y=10 2x+y=14 , Camilo multiplied both sides of the second equation by a number, added the new equation to the first equation, and replaced the first equation with the result. Which system of equations could be Camilo's new system?

Answers

Answer:

-3x-y=-18

2x+y=14

Step-by-step explanation

i re took the test until i got it right to answer this lol, its correct and good luck with school

what is 2 + 2 :D also just testing this out ndfjb

Answers

4 lol ::::::)))))))))))

Answer:

21 :Dlol

Step-by-step explanation:

can you help me please 3-4 please hurry

Answers

Answer:

3) m = 18

4) p = 2

Step-by-step explanation:

3. m= -18

4. p= 2

just solve for the variables

A pair of pants originally cost 25 dollars but costs 45 dollars. what is the percent markup? Please help!

Answers

Answer:

The markup formula is as follows: markup = 100 * profit / cost .

Step-by-step explanation:

For example if your cost is $10.00 and you wish to markup that price by 40%, 100% + 40% = 140%. Multiply the $10.00 cost by 140% and get the retail price of $14.00.

How do you calculate a 45 markup?

Simply take the sales price minus the unit cost, and divide that number by the unit cost. Then, multiply by 100 to determine the markup percentage.

PLEASEEEE HELP ME!!
The area of a rectangular poster board can be represented by the expression
64x²y. If the width is 16xy, which expression represents the length of the poster
board?
A = length * width

Answers

Answer:

Step-by-step explanation:

A = length * width

Length = A ÷ width

[tex]= \frac{64x^{2}y}{16xy}\\\\= 4*x^{2-1}*y^{1-1}\\\\= 4x^{1}*y^{0}\\\\= 4x*1\\=4x[/tex]

Jen advises her clients to save 12% of their income every year . Her client jarred followed her advice and saved $6600 last year . Find kareefs total income

Answers

Answer:

$55,000

Step-by-step explanation:

.12x = 6600

x = 55000

Write the equation of the graph below.

Answers

Answer:

C . y = 2(x+1)^2 - 3 is the equation

3. The Sambag 1 Daycare Center received 1 013 pencils. If each child got
6 pencils equally, how many pencils were left?
A. There are 2 pencils left.

C. There are 4 pencils left.

B. There are 3 pencils left.

D. There are 5 pencils left.

Answers

Answer:

Step-by-step explanation:

i am not sure how many kids there are but if u do 1013-5= 1008 and 1008÷6=168 , so there most likely are 168 kids...

A box contains 4 bags of sugar. the total mass of all 4 bags is 6 kg what is the mass of each bag in grams

Answers

Answer:

Divide by 4 to get the mass of a single bag and then multiply by 1000 to get to grams from kilograms

Step-by-step explanation:

6/4=1.5

1.5*1000=1500

So, in total a bag of sugar would cost 1500

It’s simple, really- the answer is 1500g or 1.5kg.

All you have to do is divide 4 by six to get the mass of each separate bag.

4/6= 1.5kg

Or 1500g

Hope this helps

Chase has 8 ounces of coffee beans. If each cup of coffee requires 1/9 ounces of coffee beans how many cups of coffee can chase make?

Answers

Answer:

Chase will be able to make 4 cups

The sum of a number and seven is less than 12

Answers

Answer:

Step-by-step explanation:

X+7 < 12

The endpoints of AB are A (7, 8) and B(-2, 3). Find the coordinates of the midpoint M.
Coordinates of midpoint M. OD

Answers

Answer:

The answer is (4, 5)

I’m think the answer is (4,5)
Hope this helped!

You are the owner of four Taco Bell restaurant locations. You have a business loan with Citizens Bank taken out 60 days ago that is due in 90 days. The amount of the loan is $50,000, and the rate is 9.5% using ordinary interest. You currently have some excess cash. You have the choice of sending Citizens $35,000 now as a partial payment on your loan or purchasing an additional $35,000 of serving supplies such as food containers, cups, and plastic dinnerware for your inventory at a special discount price that is "10% off" your normal cost of these items. (a)

Answers

Answer:

(a) The amount of interest you will save on this loan if you make the partial payment and don't purchase the additional serving supplies is $553.80.

(b) The amount you will save by purchasing the discounted serving supplies and not making the partial payment is $2,946.20.

Step-by-step explanation:

Note: This question is note complete. The complete question is therefore presented before answering the question as follows:

(a) How much interest will you save on this loan if you make the partial payment and don't purchase the additional serving supplies?

(b) How much will you save by purchasing the discounted serving supplies and not making the partial payment?

Explanation of the answers is now given as follows:

(a) How much interest will you save on this loan if you make the partial payment and don't purchase the additional serving supplies?

Since an ordinary interest is used, it implies that the total interest amount has to be calculated based on a 360-day year instead of a 365-day year. Therefore, the the interest saved can be calculated as follows:

I_$50K = PRT ........................ (1)

Where,

I_50K = Total Interest on the original $50,000 loan = ?

P = Principal = $50,000

R = interest rate = 9.5%

T = Number of days in the loan period / 360 = (60 + 90) / 360 = 150 / 360 = 0.416666666666667

Substituting the values into equation (1), we have:

I_$50K = $50,000 * 9.5% * 0.416666666666667

I_$50K = $1,979.17

Daily interest on $50,000 loan = I_$50K / Number of days in the loan period = $1,979.17 / 150 = $13.19

Also, we have:

I_PB = PRT ........................ (2)

Where,

I_PB = Innterest on principal balance = ?

P = Principal balance = $50,000 - $35,000 = $15,000

R = interest rate = 9.5%

T = Number of days remaining / 360 = 60 / 360 = 0.166666666666667

Substituting the values into equation (2), we have:

I_PB = $15,000 * 9.5% * 0.166666666666667

I_PB = $237.50

Daily interest on principal balance = I_PB / Number of days remaining the loan period = $237.50 / 60 = $3.96

Daily interest to save = Daily interest on $50,000 loan - Daily interest on principal balance = $13.19 - $3.96 = $9.23

Interest amount to save on the loan = Number of days remaining * Daily interest to save = 60 * $9.23 = $553.80

Therefore, the amount of interest you will save on this loan if you make the partial payment and don't purchase the additional serving supplies is $553.80.

(b) How much will you save by purchasing the discounted serving supplies and not making the partial payment?

This can be calculated as follows:

Discount receivable from purchasing serving supplies = Cost of serving supplies * Discount rate = $35,000 * 10% = $3,500

Amount to save by purchasing serving supplies = Discount receivable from purchasing serving supplies - Interest payable on loan for the remaining 60 days ................ (2)

Where;

Discount receivable from purchasing serving supplies = $3,500

Interest payable on loan for the remaining 60 days = Interest amount to save on the loan as calculated in part (a) = $553.80

Substituting the values into equation (2), we have:

Amount to save by purchasing serving supplies = $3,500 - $553.80 = $2,946.20

Therefore, the amount you will save by purchasing the discounted serving supplies and not making the partial payment is $2,946.20.

a) 2 x -7 =
b) -3 x 4 =
c) -5 % -6 =

Answers

Answer:

a)2×-7= -14

b)-3×4= -12

c)-5%+6= -6.05

(a) 2 x -7 = -14
(b) -3 x 4 = -12
(c) -5% + 6 = 6.05

Please help me! (Tangent Ratios) (20 points)

Answers

Answer:

Tan A for first page 25/49

Tan A for second page 37/49

Tan B for first page 24/49

Tan B for second page 12/49

Ill give brainliest,

The fastest car on Earth, a British-made Thrust SSC, would win ever Nascar race in America. If it takes 0.5 hours (30 minutes to travel 380 miles, what is its speed?

Answers

nwsnsnsns

Step-by-step explanation:

oh nooooo

welp

What is 6 x 1.11?
Give your answer in pounds.

Answers

Answer:

Step-by-step explanation:

6.66 pounds is the correct answer

Robyn's class has 22 students. Nine of the students in the class are girls. What is the ratio of boys to girls in Robyn's class?
09:13
9:22
13:9
0 13:22

Answers

Answer:

13:9

Step by Step Explanation:

That is the answer

13:9 will be your answer

Which point is NOT part of the solution set?

Answers

Anything not red so an example is (-5,5)

A grizzly bear sheds 20% of its weight from hibernation in three weeks, which is 80 pounds. What was the bear’s initial weight?

Answers

Answer:

400 pounds

Step-by-step explanation:

Question: 80 is 20% of what?

Formula = a = p* w

w (whole) = a/p

a/p = 80/0.20 (decimal form of 20%)

The initial weight was 400 pounds. It should be the answer so I hope this helps.

I’m confused
what the answer

Answers

367 cm sq

You find the area for all the shapes and then add it up

Triangle - 160cm

Square - 144cm

Trapezoid - 63

Which of the following is an equivalent fraction for 2/3? *

1. 6/9
2. 2/8
3. 12/20
4. 10/30

Answers

1. 6/9
Reason is 2x3=6 and 3x3=9, giving u 6/9

Answer:

6/9 because if you multiply 2/3times 3 its 6/9 which when simplified is 2/3

Can you guys make sure what I've done so far is right and fill in the last box? It is due today, February 24, 2021.

Answers

Answer:

yes, you are correct so far, the last box should be 12

Step-by-step explanation:

12 is the y-intercept in this problem because at 0 hour, there were 12 people

The number of students in chess club decreased from 49 to 18 what is the percentage decrease

Answers

Answer: 63% decrease

Explanation: (49 - 18) ÷ 49, based on percentage decrease formula. Which would get you 0.632... and you can round that to 0.63 which would be 63% as a percentage.

(Hope this helps and please mark me as brainliest!)

Answer:

Roughly a 63.2653% decrease

Step-by-step explanation:

63.2653% of 49 is 30.999997

49-30.999997=18.000003

If johnny had 5 apples and gave away 10 how many apples does he have?

Answers

5 apples because 10-5 =5

Answer:

negative 10

Step-by-step explanation:

help me please and thank u

Answers

Answer:

ion know

Step-by-step explanation:

Please solve for x. Thank you.

Answers

Answer:

Step-by-step explanation:

so the number is 27 + x which is on ST side so the same side is CD. So we put 27 + x = 30

-27 = -27

----------------------

x = 3

always look at the pattern of the angles like angle DBC ~ TRS and see what its asking for

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In the diagram below, the angle of depression from the top of the lighthouse to a speed boat is 27 degrees. The base of the lighthouse is 33 ft away from the boat. Determine the height of the lighthouse, to the nearest tenth of a foot.​

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In the diagram below, the angle of depression from the top of the lighthouse to a speed boat is 27 degrees. The base of the lighthouse is 33 ft away from the boat. Determine the height of the lighthouse, to the nearest tenth of a foot.