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
Dmitry_Shevchenko [17]
3 years ago
8

A boat is spotted in the water with an angle of depression of 25° from the top of a lighthouse that is 89 feet tall. To the near

est foot, how far away is the boat from the base of the lighthouse?
A)
37 feet
B)
42 feet
C)
98 feet
D)
191 feet
Mathematics
2 answers:
Tanya [424]3 years ago
5 0
Its basically asking for the base so "adjacent" would be "X" and the only place 89 can go is on the opposite so we have

tan(25) = 89/x
x*tan(25) =89
x=89/tan(25) and we get 191 :D

Make sure your calculator is in degree mode

stepan [7]3 years ago
4 0
To calculate this you need to imagine triangle which points are:
boat
Top of lighthouse
Bottom of lighthouse

That triangle has 90 degrees angle at bottom of lighthouse. That means that we can use trigonometry to determine length between boat and bottom of lighthouse

tan(25) = 89/x
x = 89/tan(25)
x = 190.86

after rounding, the answer is D, 191 feet
You might be interested in
I need help pleace ​
Whitepunk [10]

Answer

<em>length = width + 15</em>

<em>Area = length * width; area is 54 square feet.</em>

<em>Two equations are:</em>

<em>L = W + 15</em>

<em>L * W = 54</em>

<em>To solve, we substitute first equation into second equation:</em>

<em>(W + 15) * W = 54</em>

<em>w^2 + 15w = 54</em>

<em>w^2 + 15w - 54 = 0</em>

<em>(w+18)(w-3) = 0</em>

<em>w = -18 or 3</em>

<em>The width cannot be negative, so 3 is the width and since length is 15 more than width, length is 18:</em>

<em />

<em>Length = 18 feet</em>

<em>Width = 3 feet</em>

<em />

<em />

7 0
3 years ago
What is the radius of a circle when the diameter is 10
Andrei [34K]
I believe the radius is 5 <span />
7 0
3 years ago
Read 2 more answers
Which of the following represents the factored form of f(x) = x3 − 81x?
sladkih [1.3K]
You're original equation has a -81, so the factored form will have to have a positive and negative multiplying one another to achieve that...

f(x) = x(x + 9)(x - 9)
3 0
3 years ago
Read 2 more answers
Between what two consecutive integers does √35 lie?
SSSSS [86.1K]

the answer is b. I'm pretty sure at least because the square root it roughly 5.91 and that's between 5 and 6.

3 0
2 years ago
Read 2 more answers
What are the real or imaginary solutions of the polynomial x^4-3x^2=-2x​
bagirrra123 [75]

Answer:

x = 0 or 1 or -2

Step-by-step explanation:

x^{4} -3x^{2} +2x=0

x(x^3-3x+2)=0

x(x-1)^2 * (x+2)0

so x = 0 or 1 or -2

there is no imaginary solutions

4 0
3 years ago
Read 2 more answers
Other questions:
  • Which of these tables represents a function?
    13·1 answer
  • Estimate square root 250 to two decimal points
    7·2 answers
  • Evaluate. 5(−6)=________<br><br><br> 30<br><br><br> -1<br><br><br> -11<br><br><br> -30
    15·2 answers
  • I need to know what mathematical operation applies to Problem: Tricia manages the front office at a local doctor's office and ne
    12·1 answer
  • Jamie has a jar of coins containing the same number of nickels, dimes and quarters. The total value of the coins in the jar is $
    12·2 answers
  • Plz help its due TOMMOROW​
    5·1 answer
  • 20 CHILDREN WENT TO A CAFE FOR LUNCH.14 CHILDREN ATE FISH BURGERS. 10 CHILDREN ATE CHICKEN BURGERS. HOW MANY CHILDREN ATE BOTH F
    5·1 answer
  • A physician orders cogentin 1 gm qam and 0.5mg qpm how many 0.5mg tablets are needed for a 1 month supply?
    12·1 answer
  • What’s the value of DCB?<br> Pls help
    5·1 answer
  • Find the equation of the horizontal line through the point given.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!