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
Law Incorporation [45]
3 years ago
9

From the top of a 150-ft lighthouse, the angle of depression to a ship in the ocean is 22°. How far is the ship from the base of

the lighthouse? (Round your answer to the nearest foot.)
Mathematics
2 answers:
blsea [12.9K]3 years ago
6 0

Answer:

Step-by-step explanation:

Considering the situation, a right angle triangle is formed. The height of the lighthouse represents the opposite side of the right angle triangle.

The horizontal distance, h between the ship and the base of the lighthouse represents the adjacent side of the right angle triangle.

If the angle of depression to the fire that is 22°, the angle of elevation of the lighthouse from the ship is also 7° because they are alternate angles.

To determine h, we would apply

the tangent trigonometric ratio.

Tan θ = opposite side/adjacent side. Therefore,

Tan 22 = 150/h

h = 150/tan22 = 150/0.4040

h = 371 feet

zepelin [54]3 years ago
5 0

Answer:

the ship is at a distance of 60 feet

Step-by-step explanation:

we have to think of the problem as a right triangle, since

we have 2 legs and 1 hypotenuse, we know the measure of the leg that gives us the height and the angle that that leg touches

the leg we want to calculate is the opposite of the angle we have, since it does not touch

well to start we have to know the relationship between angles, legs and the hypotenuse

a: adjacent

o: opposite

h: hypotenuse

sin α = o/h

cos α= a/h

tan α = o/a

we see that it has (angle, adjacent, opposite)

is the tangent

tan α = o/a

tan 22 = o/150

tan 22 * 150 = o

60.6ft = o

round to the nearest foot

60ft

the ship is at a distance of 60 feet

You might be interested in
A graph shows height (inches) labeled 56 to 72 on the horizontal axis and shoe size on the vertical axis. A line shows an upward
olga2289 [7]

Answer:

A -a linear relationship showing as height increases, shoes size increases.

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Write the equation of the line that passes through the points
anyanavicka [17]

Answer:

The equation that passes through (−7,−3)and (−2,−1) is y=2/5x-1/5

Step-by-step explanation:

m=y²-y¹/x²-x¹

m=(-1)-(-3)/(-2)-(-7)

m=2/5

y-y=m(x-x¹)

y-(-1)=2/5(x-(-2)

y+1=2/5x+4/5

-1 -1

y=2/5x-1/5

7 0
3 years ago
List one pair of vertical angles.
guajiro [1.7K]

Answer:

1 and 4, 2 and 3, 5 and 8, 6 and 7

Step-by-step explanation:

Any of those would work

6 0
2 years ago
Rita earns $16.00 per hour. If she gets a 3% raise, what will be her new hourly wage?
Vikentia [17]
All percentages can be expressed as fractions or decimals. To find a percentage of a number, we multiply the percentage with the number. In this case:
3/100 * 16/1 = 48/100 = 0.48
Or:
0.03 * 16 = 0.48
Her new hourly wage would be $16.48
5 0
3 years ago
Read 2 more answers
Which of the following graphs represents a function?
kirza4 [7]

The third graph represents a function.

In a function, every input (x value) has <em>exactly</em> one output (y value). If even a single input has zero or two outputs, the graph does not represent a function.

A good way of testing this is using a vertical line. As you move a vertical line from left to right across a graph, it should always be touching exactly one point on the graphed line.

In this case, every graph fails this vertical line test except for the third graph, so the third graph represents a function.

8 0
1 year ago
Read 2 more answers
Other questions:
  • What is 5 1/2% of 60? Please show work
    8·1 answer
  • ¿Cuál es la importancia de la estadística en la toma de decisiones?​
    13·1 answer
  • I am having trouble on starting this! Please help
    10·1 answer
  • A coupon discounts the total grocery bill by $3.50. How many dollars g is the bill after the discount if the bill before the dis
    7·2 answers
  • Hey Can somone please help meeee
    8·1 answer
  • Please help!!! I will mark best answer!!! Show some kind of work I don’t want to get it wrong!!!
    15·1 answer
  • What organelle is found only in eukaryotic cells and contains<br> DNA?
    14·1 answer
  • Find the value of x.
    11·1 answer
  • PLEASE PLEASE HELP ME ASAPPP
    15·1 answer
  • On a unit circle, the terminal point of 0 is (1, 0). What is tan ?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!