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
USPshnik [31]
3 years ago
8

A suspension bridge has two main towers of equal height. A visitor on a tour ship

Mathematics
1 answer:
Scilla [17]3 years ago
3 0

Answer:

The Height of the tower is 188.67 ft

Step-by-step explanation:

Given as :

The angle of elevation to tower = 15°

The distance travel closer to tower the elevation changes to 42° = 497 ft

Now, Let the of height of tower = h  ft

The distance between 42°  and  foot of tower = x  ft

So, The distance between 15° and  foot of tower =  ( x + 497 )  ft

So, From figure :

<u>In Δ ABC </u>

Tan 42° = \frac{perpendicular}{base}

Or , Tan 42° = \frac{AB}{BC}

Or,  0.900 = \frac{h}{x}

∴ h = 0.900 x

Again :

<u>In Δ ABD </u>

Tan 15° = \frac{perpendicular}{base}

Or , Tan 15° = \frac{AB}{BD}

Or,  0.267 = \frac{h}{( x + 497 )}

Or,  h = ( x + 497 ) × 0.267

So, from above two eq  :

     0.900 x =  ( x + 497 ) × 0.267  

Or, 0.900 x - 0.267 x =  497  × 0.267  

So, 0.633 x = 132.699

∴               x = \frac{132.699}{0.633}

Or,            x = 209.63  ft

So, The height of tower = h = 0.900 × 209.63

Or,                                      h = 188.67 ft

Hence The Height of the tower is 188.67 ft    Answer

You might be interested in
Write the fact family for 5,8,and 40
Juli2301 [7.4K]
A fact family is basically just different equations with the same numbers getting the same/different numbers as answers you might say... 
this will make more sense: 
5x8=40
8x5=40
40/8=5
40/5=8
4 0
3 years ago
Work out the answers to <br>a) 7 × (-4)<br>b) (-6) × 8<br>c) (-5) x (-9)​
kow [346]
A)-28
B)-48
C)45
Hope this helps :)
6 0
3 years ago
Give the coordinates of Point P without using any new variables. <br><br> (Please show your work.)
poizon [28]

Answer:

(a-b, c)

Step-by-step explanation:

The midpoints of the two diagonals are the same, so we have ...

(P + (-a, 0))/2 = (O +(-b, c))/2

Multiplying by 2 and subtracting (-a, 0), we get ...

P = (0, 0) +(-b, c) -(-a, 0)

P = (a-b, c)

7 0
3 years ago
What is 5 x 4 i will give you brainlist
Alekssandra [29.7K]
Five times four is 20
8 0
3 years ago
Read 2 more answers
Which is a factor of 4x^2-6x-40?
Dmitry [639]
(2x + 5) / (3x + 5) as ur answer
6 0
3 years ago
Other questions:
  • What is 5.8×10^6 seconds in minutes
    13·1 answer
  • 6. You must start with what mathematical operator to create a formula? A. + B. - C. * D. =
    7·1 answer
  • For the function f(x) = 3^-x calculate the following values:<br> f(2) = <br> f(3) =
    10·1 answer
  • ANOTHER ONE, The graph of a linear function is shown.Which word descibes the slope?
    13·1 answer
  • HELP PLEASE NEED IT RN!
    14·1 answer
  • What number must you add to complete the square?<br><br> x^2 + 8x = -3
    7·1 answer
  • What is the inverse of the function g(x)=-2/3x-5
    5·2 answers
  • Help I don’t understand this
    15·1 answer
  • Estimate the circumference of a circle that has a radius of 11 m.
    11·1 answer
  • Please help me brainliest
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!