1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Ivenika [448]
3 years ago
14

A person is watching a boat from the top of a lighthouse. The boat is approaching

Mathematics
1 answer:
Lapatulllka [165]3 years ago
7 0

9514 1404 393

Answer:

  445.10 feet

Step-by-step explanation:

The relation between angle of depression and distance to the boat is ...

  Tan = Opposite/Adjacent

  tan(angle of depression) = (200 ft)/(distance to boat)

Then the distance to the boat is ...

  distance to boat = (200 ft)/tan(angle of depression)

__

We want the change in distance between the two angles, so ...

  change in distance = (200 ft)/tan(17°31') -(200 ft)/tan(46°41')

  = (200 ft)(cot(17°31') -cot(46°41'))

  change in distance ≈ 445.10 ft

You might be interested in
Can you help me with this question<br> Increase 40 by 50%
professor190 [17]

Answer:

60

Step-by-step explanation:

first you have to find 50% of 40 but multiplying 40 by .5 to get 20. then you add 20 to 40 to get your answer

5 0
3 years ago
Read 2 more answers
Josiah is very excited after working 20 hours during his first week at grocery stop. He picks up his paycheck expecting to have
Vadim26 [7]

Josiah's gross pay is %152.

<u>Step-by-step explanation:</u>

It is given that, Josiah expects a paycheck of $152 for working 20 hours during his first week at a grocery shop.

But, he receives only a check of $129.48

Now, it is asked to find which amount is his gross pay. To find the gross pay, one should known the meaning of the term "gross pay" in detail.

  • Gross pay is defined as the amount of money the employees receive without  any deductions on taxes.
  • Net pay is known as the amount of money the employees take home after all deductions is carried out from the gross pay.

Therefore, in this case, the amount Josiah expects to received without any tax deductions is $152. This is his gross pay.

Josiah was given a paycheck of $129.48 to take home after all the deductions have been done from the gross pay of $152. Thus, it can be concluded that Josiah's gross pay is %152.

5 0
4 years ago
Please Help Me!! <br><br> Don't know what to do.
baherus [9]
To find the area of a figure like this, first split this into two shapes to make things simpler: a 10 by 8 rectangle, and a triangle with a height of 5 and a base of 4. To find the dimensions of the triangle, notice that the base of the entire figure is 12 and once you split the figure into a rectangle and a triangle, you get one side that is 8 which means the base of the triangle must be 4. Now that we know the dimensions of each figure, start by finding the area of each one. To find the area of the rectangle, multiply its length by its width, or 10*8. This would give you 80. Then, find the area of the triangle, which is multiplying its base and height and dividing it by two. This would be (4*5)/2. This would equal 10. Now that we have the area of both the sections in the figure, add them together and you get your answer as 90.
8 0
3 years ago
Read 2 more answers
I cant do my mymaths honework ..
sergeinik [125]
Here is the answer for ur question.....

3 0
3 years ago
Read 2 more answers
A box in the shape of a rectangular prism has a volume of 96 cubic feet. The box has a length of (x+8) feet, a width of x feet,
anygoal [31]
96=(x+8)*x*(x-2)=x^3 +6x^2 -16x. Solve to get x= -6,-4,4. Negative distance doesn't make sense, so x=+4. Therefore, length is (x+8)=(4+8)= 12, width=x=4, and height=(x-2)=(4-2)=2.
3 0
3 years ago
Other questions:
  • H(x) = 2x^2 =4; Find h(-10)
    5·1 answer
  • If f(x)= 4-2x and g(x)=6x which expression is equivalent to (g-f)(3)
    5·1 answer
  • Frances has 4 square baking dishes. Each pan is 7 inches × 7 inches × 2 inches. Which expression will give her the total volume
    10·1 answer
  • Marco rented a small moving van the moving company charges $40 a day for up to 5 days
    5·1 answer
  • Which of the following is a unit of area?<br><br> cm2<br> feet<br> m3<br> inches
    10·2 answers
  • PLEASE HELP!!! I NEED TO KNOW HOW TO DO THIS! GEOMETRY! WILL AWARD BRAINLIEST
    7·2 answers
  • 35 POINT QUESTION!! WILL GIVE BRAINLIEST!!<br><br> Is x + 2 a factor of P(x) = 2x^3 + 5x^2 + 5x + 6?
    14·1 answer
  • Souvenir hats, t-shirts, and jackets are sold at a rock concert. Two hats, two t-shirts, and one jacket cost $141. Three hats, t
    15·1 answer
  • Which equation matches the graph
    5·1 answer
  • The product of 3 and 4 2/5 is:
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!