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
Ede4ka [16]
3 years ago
15

From the top of a 210 foot lighthouse located at sea level, the keeper spots a boat at an angle of depression of 23 degrees

Mathematics
1 answer:
denpristay [2]3 years ago
6 0
The distance from the lighthouse to the boat will be given by:
tan θ=opposite/adjacent
θ=angle of depression=23
opposite= height of the lighthouse
adjacent=distance from the boat to the bottom of the light house
hence
tan 23=210/a
thus solving for a we obtain:
a=210/tan23
hence
a=494.73 ft
You might be interested in
What are the side lengths of a 45-45-90 triangle with a hypotenuse of 10root2?
scoundrel [369]

Answer:

10

Step-by-step explanation:

let the lengths of sides=x (each)

x²+x²=(10√2)²

2x²=100×2

x²=100

x=√100=10

6 0
4 years ago
The flagpole in Mario's yard is 3,000 centimeters tall. How many meters tall is the flagpole?
Rzqust [24]
3000/100 = 30.  When you go from Centimeters to Meters you divide by 100.

5 0
3 years ago
Read 2 more answers
Which of the following best describes the slope of the line below? A. Zero B. Undefined C. Positive D. Negative
nadya68 [22]

Answer:

D. negative

Step-by-step explanation:

Let's analyze each answer choice.

A. Zero

A line with a zero slope is a horizontal line. The x values change, but the y values stay the same.

B. Undefined

A line with an undefined slope is a vertical line. The x values don't change and the y values vary.

C. Positive

When a line has a positive slope, the line increases from left to right.

D. Negative

When a line has a negative slope, the line decreases from left to right.

When we move from left to right on the graph, the line moves down. Therefore, this line must have a negative slope and D is correct.

7 0
3 years ago
The formula is: <br><img src="https://tex.z-dn.net/?f=v%20%3D%20%20%5Cfrac%7B4%7D%7B3%7D%5Cpi%20%7Br%7D%5E%7B3%7D%20" id="TexFor
uranmaximum [27]

Answer:

Volume of hemisphere=

<u>\frac{2}{3} \pi   {r}^{3}</u>

<u>Volume</u><u> </u><u>of</u><u> </u><u>sphere</u><u>=</u><u> </u>

<u>\frac{4}{3} \pi {r}^{3}</u>

Step-by-step explanation:

\frac{2}{3}  \times  \frac{22}{7}  \times  {8}^{3}

Using calculator=

1072.761905

Round to the nearest tenth=

1072.8

5 0
3 years ago
5 more than the product of 4 and some number is equal to 33
gregori [183]

Answer:

33 = 4x + 5

Step-by-step explanation:

If you convert this expression into numbers, it would be 4 times the number x plus 5 is equal to 33.

Hopefully this helps! Let me know if you have any questions!

8 0
3 years ago
Read 2 more answers
Other questions:
  • How do you subtract an integer from another integer without using a numberline or counters
    5·1 answer
  • Please help me with this please please please
    11·2 answers
  • What is the equation of the line x-3y = 18 in slope-intercept form drag and drop the appropriate number,symbol, or variable to e
    8·1 answer
  • A room 9m long,6m broad and 3.6 m high has one door 1.4m by 2m and two windows,each 1.6m by 75cm find: the cost of white-washing
    9·1 answer
  • Convert 7.2 ⋅ 10^−3 to standard form.
    14·2 answers
  • Which of the following best describes the relationship between the variables on the scatter plot below?
    5·1 answer
  • Alice has 800 MB of data. Bob has 1500 MB of data. Jack has 750 MB of data. Will it all fit on Alice's 4 GB thumb drive?
    14·2 answers
  • A piecewise linear function is graphed below. (see image)
    12·2 answers
  • What is an equation of the line that passes through the points (7, 4) and ( -5, 4)?
    15·1 answer
  • 2. Translate "the sum of 6 and the product of 8 and x into a mathematical expression
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!