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
tatiyna
2 years ago
13

A person is watching a boat from the top of a lighthouse. The boat is approaching the lighthouse directly. When first noticed, t

he angle of depression to the boat is 14°52'. When the boat stops, the angle of depression is 45°10'. The lighthouse is 200 feet tall. How far did the boat travel from when it was first noticed until it stopped? Round your answer to the hundredths place.
Mathematics
1 answer:
tatyana61 [14]2 years ago
4 0

The boat's travel from when it was first noticed until it stopped is 554.89 ft.

<h3>What is trigonometry?</h3>

Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.

We have:

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

From the given information we can draw a right-angle triangle.

14°52' = 14 + 0.86 = 14.86 degree

45°10' = 45 + 0.16 = 45.16 degree

In the right-angle triangle ACD

tan14.86 = 200/AC

AC = 753.772 ft

In the right-angle triangle DBC:

tan45.16 = 200/CB

CB = 198.886 ft

AB = AC - CB

AB =  753.772 ft - 198.886 ft

AB = 554.886 ≈ 554.89 ft

Thus, the boat's travel from when it was first noticed until it stopped is 554.89 ft.

Learn more about trigonometry here:

brainly.com/question/26719838

#SPJ1

You might be interested in
HELP PLEASE!!!❗️❗️❗️
Aleksandr [31]
8,-7 thats ur answer
8 0
3 years ago
Someone plz help me<br><br><br> .
Alex787 [66]

Answer:

12, 4, 24, 30, and 14 are the answers

5 0
2 years ago
Read 2 more answers
What are polynomials?​
Ira Lisetskai [31]

Answer: Polynomials are algebraic expressions that include real numbers and variables.

Step-by-step explanation:

Division and square roots CANNOT be involved in the variables. The variables can only include ADDITION, SUBTRACTION, and MULTIPLICATION. Polynomials contain more than one term. Polynomials are the sums of monomials.

3 0
3 years ago
In the Minnesota Northstar Cash Drawing, you pick five different numbers between 1 and 35. What is the probability of picking th
maw [93]

Answer:

\frac{1}{324632} probability of picking the winning combination

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Since the order is not important, the combinations formula is used to solve this question.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

Desired outcomes:

The correct five numbers from a set of 5. So

D = C_{5,5} = \frac{5!}{5!0!} = 1

Total outcomes:

Five numbers from a set of 35. So

T = C_{35,5} = \frac{35!}{5!30!} = 324632

Probability:

p = \frac{D}{T} = \frac{1}{324632}

\frac{1}{324632} probability of picking the winning combination

5 0
2 years ago
Need help with this one.
Stolb23 [73]

Answer:

1. 120

2. 2600

Step-by-step explanation:

6% of 2000 = 120

2000+120(5)

2000+600

=2600

5 0
2 years ago
Other questions:
  • 51% of the animals at an animal shelter are dogs. About what fraction of the animals at the shelter are dogs?
    9·2 answers
  • Which value of x makes the numerical sentence true 25^1/2 x 5^-3=5x
    11·1 answer
  • Give a real-life situation for the sum -15 + 10
    11·1 answer
  • a professional driver completes one lap around the track at Daytona International Speedway which is 2.5 miles long at 80 miles p
    10·1 answer
  • Determine the axis of symmetry for the function f(x)= -2(x + 3)2 - 5.
    9·2 answers
  • Anyone please HELP cause I’m getting frustrated
    12·1 answer
  • Ryan buys a new pair of headphones for $32. He has to pay 7.25% tax. What is his total bill
    10·2 answers
  • Bryant needs a new pair of shoes for basketball. After the sale he got the shoes for $120. If the price of the shoes were $160 w
    6·1 answer
  • Screenshot of the question
    9·1 answer
  • 12 cm<br> 5 cm<br> 10 cm<br> 6 cm
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!