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
valentinak56 [21]
3 years ago
8

The top of the Boulder Dam has an angle of elevation of 1.2 radians from a point on the Colorado River. Measuring the angle of e

levation to the top of the dam from a point 155 feet farther down river is 0.9 radi- ans; assume the two angle measurements are taken at the same elevation above sea level. How high is the dam?
Mathematics
1 answer:
Nana76 [90]3 years ago
5 0

Answer:

382.925 feets

Step-by-step explanation:

The solution diagram is attached below :

Converting radian measurement to degree :

radian angle * 180/π = degree angle

1.2 * 180/π = 68.755°

0.9 * 180/π = 51.566°

Height of dam is h:

Using trigonometry :

Tan θ = opposite / Adjacent

Tan 68.755° = h / x

h = x Tan 68.755° - - - (1)

Tan 51.566° = h / (155+x)

h = (155+x) tan 51.566° - - - (2)

Equate (1) and (2)

x Tan 68.755 = (155+x) Tan 51.566

x Tan 68.755 = 155tan 51.566 + x tan 51.566

x Tan 68.755 = 195.32311 + x Tan 51.566

x Tan 68.755 - x Tan 51.566 = 195.32311

x(tan 68.755 - tan 51.566) = 195.32311

x * 1.3120110 = 195.32311

1.3120110x = 195.32311

x = 195.32311 / 1.3120110

x = 148.87307

Using :

h = x Tan 68.755

h = 148.87307 * tan(68.755)

h = 382.92539

h = 382.925 feets

You might be interested in
The human body has a normal temperature of 98.6°F. Doctors will get worried if a sick patient has a temperature that varies from
makvit [3.9K]

Answer:

|T- 98.6| \geq 3

And in order to solve this we have two possibilities:

Solution 1

T -98.6 \leq -3

And solving for T we got:

T \leq 98.6- 3

T\leq 95.6

Solution 2

And the other options would be:

T -98.6 \geq 3

T \geq 101.6

Step-by-step explanation:

For this case we can define the variable os interest T as the real temperature and we know that if we are 3 F more than the value of 98.6 we will be unhealthy so we can set up the following equation:

|T- 98.6| \geq 3

And in order to solve this we have two possibilities:

Solution 1

T -98.6 \leq -3

And solving for T we got:

T \leq 98.6- 3

T\leq 95.6

Solution 2

And the other options would be:

T -98.6 \geq 3

T \geq 101.6

6 0
3 years ago
50 POINTS SOLVE !! ::
satela [25.4K]

Answer:

<h2>k = 31/9</h2><h2>b = 12</h2>

Step-by-step explanation:

<u>k - 4</u> = 3

   9

k/9  = 3(9) + 4

k = 31/9

k = 31/9

<u>8 + b </u> = -5

  -4

8 + b = -5 (-4)

8 +  b = 20

b = 20 - 8

b = 12

4 0
3 years ago
Given two points m and n on the coordinate plane, find the slope of line mn, and state the slope of the line perpendicular to li
ololo11 [35]
The slope of the line MN where M (9,6) and N (1,4) can be obtained by obtaining the rate of the rise over the run. This is shown below:

(y2 - y1)/(x2 - x1) = (4 - 6)/(1 - 9) = (-2)/(-8)
m1 = 1/4

The slope of the line perpendicular to line MN can be obtained by taking the negative reciprocal of the slope of line MN.

m1 = 1/4
m2 = -1/m1 = -1/(1/4) = -4

Therefore, the slope of the line perpendicular to line MN is -4.
3 0
3 years ago
Which equation is parallel to the graph of y = 2x-5 and goes through the point (3,9)?
lawyer [7]

Answer:

y = 2x + 3

Step-by-step explanation:

the slope is 2 so the line parallel will have a slope of 2

y-9 = 2(x-3)

y-9= 2x - 6

y = 2x +3

6 0
2 years ago
Simplify (3x − 8) + (2x + 5) − (4x − 8).<br> A) x − 11 <br> B) x + 5 <br> C) x + 21 <br> D) 9x + 5
lozanna [386]

Answer:

B

Step-by-step explanation:

3x-8+2x+5-4x+8

3x+2x-4x    -8+5+8

     x        +        5      

x+5

6 0
3 years ago
Read 2 more answers
Other questions:
  • Jason is finding the area of a rectangle that is 7 inches long and 4 inches wide. Jason says the area of the rectangle is 28 inc
    9·2 answers
  • MATH HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
    5·1 answer
  • What solution do 2x2 - 13x + 21 = 0 and 2x2 + 9x - 56 = 0 have in common? Round your answer to the nearest tenth if necessary.
    8·1 answer
  • An archer hits his target 80% of the time. If he shoots 7 arrows, what is the probability of each event
    5·1 answer
  • Help I have 10 minutes left <br> 55<br> 15x + 5<br> 8<br> 09<br> 0.7<br> O 3,3
    12·1 answer
  • Which polynomials are in standard form
    7·1 answer
  • What is the answer to this plz
    5·1 answer
  • If f(x) = V7x + 31 , find f(0).
    9·1 answer
  • What is the GCF using distributive property of 40 and 25?
    12·2 answers
  • What is the answer to these questions?
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!