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
34kurt
3 years ago
6

Set up a right triangle model for this problem and solve by using a calculator. Follow the models above,

Mathematics
1 answer:
irakobra [83]3 years ago
8 0

<em><u>Question:</u></em>

Set up a right triangle model for this problem and solve by using a calculator. Follow the models above,

A photographer stands 60 yards from the base of a lighthouse and observes that the angle between the  ground and the top of the lighthouse is 41° How tall is the lighthouse?

<em><u>Answer:</u></em>

The height of lighthouse is 52.2 yards

<em><u>Solution:</u></em>

Given that photographer stands 60 yards from the base of a lighthouse and observes that the angle between the  ground and the top of the lighthouse is 41 degree

The diagram is attached below

Consider a right angled triangle ABC

AB is the height of the lighthouse

BC is the distance between the base of a lighthouse and Photographer

As per given, BC = 60 yards

Angle between the  ground and the top of the lighthouse is 41 degree

Angle ACB = 41 degree

To find: height of lighthouse i.e AB = ?

We know that,

tan(\angle ACB) = \frac{Perpendicular}{Base}

Here Base is BC and perpendicular is AB

\tan 41^{\circ}=\frac{A B}{B C}

Substituting the values,

\begin{aligned}&\tan 41^{\circ}=\frac{A B}{60}\\\\&0.8692=\frac{A B}{60}\\\\&A B=0.8692 \times 60=52.157 \approx 52.2\end{aligned}

Thus the height of lighthouse is 52.2 yards

You might be interested in
Point Z is the incenter of ΔWXY.
Alekssandra [29.7K]

Answer:

2,4,5 for edg

Step-by-step explanation:


3 0
3 years ago
Read 2 more answers
Urgent help!<br><br> refer to photo
vladimir1956 [14]
The answer is a, a=15
7 0
3 years ago
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
saul85 [17]

Answer:

Option B is the correct answer

Step-by-step explanation:

<u>A line segment is a line drawn with two end points.</u>

1.) Option A is a point

2.) <u>Option B is a line segment</u>

3.) Option C is a ray

4.) Option D is a line

Hope this helps!

8 0
2 years ago
Given the following system of equations: 2x + 6y = 12 4x + 3y = 15 Which action creates an equivalent system that will eliminate
ozzi

Answer:

Multiply the second equation by −2 to get −8x − 6y = −30.

Step-by-step explanation:

{2x + 6y = 12

{4x + 3y = 15

{2x + 6y = 12

{−8x − 6y = −30 >> New Equation

* Doing this will give you <em>additive</em><em> </em><em>inverses</em><em> </em>of −6y and 6y, which result in 0, so they are both ELIMINATED.

** [3, 1] is your solution.

I am joyous to assist you anytime.

6 0
3 years ago
Read 2 more answers
Figure JKL is reflected about the y-axis to obtain figure J′K′L′:
Colt1911 [192]

Answer: the answer is a

Step-by-step explanation:

5 0
2 years ago
Other questions:
  • Can some explain how you got you answer? it's number 2
    6·1 answer
  • The model shows that may have planted Flowers in her garden
    12·1 answer
  • Suppose your friends have the following ice cream flavor preferences: 70% of your friends like chocolate (C). The remaining do n
    12·1 answer
  • Help plss it's urgent​
    11·1 answer
  • Solve (x – 3)2 = 5.
    7·1 answer
  • Which inequality is NOT true if y = -5?
    14·2 answers
  • Hello, someone please help me with this question.
    6·1 answer
  • Consider the following equations
    14·1 answer
  • I NEED HELP EMERGENCY!!
    14·1 answer
  • Anyone here good at geometry ?!! I need help please!
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!