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
ad-work [718]
3 years ago
13

HELP PLS! A boat is heading towards a lighthouse, whose beacon-light is 102 feet above the water. From point AA, the boat’s crew

measures the angle of elevation to the beacon, 13^{\circ}
, before they draw closer. They measure the angle of elevation a second time from point BB at some later time to be 22^{\circ}

. Find the distance from point AA to point BB. Round your answer to the nearest tenth of a foot if necessary.
Mathematics
1 answer:
KatRina [158]3 years ago
5 0

Answer:

Distance from point AA to point BB = 189.3 feet

Step-by-step explanation:

Let the distance from point AA to the base of the lighthouse be represented by x, and the distance from point BB to the base of the lighthouse be represented by y. So that;

distance from point AA to point BB = x - y

To determine the value of x, applying the required trigonometric function;

Tan θ = \frac{opposite}{sdjacent}

Tan 13 = \frac{102}{x}

x = \frac{102}{Tan 13}

  = 441.81 feet

x = 441.8 feet

To determine the value of y;

Tan 22 = \frac{102}{y}

y = \frac{102}{Tan 22}

  = 252.46

y = 252.5 feet

Thus,

distance from point AA to point BB = 441.8 - 252.5

                                                           = 189.3 feet

You might be interested in
A rectangle field has an area of 1764 m^2. The width of the field is 13m more than the length. What is the perimeter of the fiel
mr_godi [17]

Answer:

Step-by-step explanation:

hello :

let y the length and  x the  width

A  the area and  P the perimeter

so : A= xy and P  = 2(x+y) ....y > x and x >0  ; y>0

xy = 1764 ...(1)

y = x +13....(2)  put this value in (1) : x (x+13) = 1764

x²+13x -1764 = 0   ...quadratic equation

calculate : Δ = b² -4ac   a =1  and  b =13  and

c = -1764

Δ = (13)² - 4(1)(-1764) = 169 +7056 = 7225=85²

X1 =(-b-√Δ)/2a =(-13-85)/2 < 0 refused  (x  >0)

X2 =(-b+√Δ)/2a =(-13+85)/2  = 72/2 = 36

so : x= 36  put this value in (2) : y = 36+13 = 49

the perimeter is : P  = 2(x+y)

                            P  = 2(36+49) = 170 m

6 0
3 years ago
Answer This Question
bixtya [17]

Answer:

Step-by-step explanation:

um

7 0
2 years ago
Your credit limit is $1,000. What is the max you should ever owe on this card?<br><br> = $
alexgriva [62]

Answer:

see the attachment photo!

4 0
2 years ago
In the figure below,
almond37 [142]
The answer would be 42. this being because of the fact that 102 can be reflected. you were supplied with the 60 and you want MLO soo subtract 60 from 102 thus giving you 42
3 0
3 years ago
To which linear equations is the coordinate a solution?
never [62]

The linear equation y = -x - 2  and y = 2x + 13 form the solution (-5, 3)

<h3>Linear equation</h3>

A linear equation is in the form:

y = mx + b

where y, x are variables, m is the rate of change and b is the y intercept.

Given the coordinate (-5, 3) as a solution.

The linear equation y = -x - 2 satisfies this this equation because 3 = -(-5) -2

Also, the linear equation y = 2x + 13 satisfies this this equation because 3 = 2(-5) + 14

Find out more on Linear equation at: brainly.com/question/14323743

3 0
2 years ago
Read 2 more answers
Other questions:
  • Complete the sentence. 5000 thousand is 1/10 of a what
    5·1 answer
  • Keeping the properties of exponents in mind, to what power must you raise the expression 7 1/2 to get 7 as a result
    11·1 answer
  • Consider u have a 6 side dice what are the probabilities
    13·2 answers
  • Drag the tiles to the correct boxes to complete the pairs.
    7·2 answers
  • Jeff is at the local casino. As long as he has a single dollar or more, he repeatedly plays a game where the probability of gain
    8·1 answer
  • Horn lengths of Texas longhorn cattle are normally distributed. The mean horn spread is 60 inches with a standard deviation of 4
    14·1 answer
  • One hundred sixty people who suffer from painful diabetic neuropathy have volunteered to participate in a study. Eighty are sele
    15·1 answer
  • The measure of one angle of a right triangle is 56∘ more than the measure of the smallest angle. Find the measure of the smalles
    15·1 answer
  • Find the value of x in each case:
    11·1 answer
  • Please help quickly this is timed
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!