Slope of the pool

Calculate slope (rise:run) of the bottom of swimming pool long 30 m. Water depth at beginning of pool is 1.13 m (for children) and depth at end is 1.84 m (for swimmers). Slope express as percentage and as angle in degrees.


Result

p =  2.4 %
α =  1.4 °

Solution:

p=1.841.1330100=2.4 p = \dfrac{ 1.84-1.13}{ 30} \cdot 100 = 2.4 \\%
tanα=1.841.1330 tanα=0.0237 α=arctan0.0237=1.4=12121"\tan \alpha = \dfrac{ 1.84-1.13}{ 30} \ \\ \tan \alpha = 0.0237 \ \\ \alpha = \arctan 0.0237 = 1.4 ^\circ = 1^\circ 21'21"



Our examples were largely sent or created by pupils and students themselves. Therefore, we would be pleased if you could send us any errors you found, spelling mistakes, or rephasing the example. Thank you!





Leave us a comment of this math problem and its solution (i.e. if it is still somewhat unclear...):

Showing 2 comments:
#
Math student
(y2-y1) /  (x2-x1)   0.73/ (10-10??)

#
Math student
10-0
x2 = 0?

avatar









Tips to related online calculators
Our percentage calculator will help you quickly calculate various typical tasks with percentages.
See also our right triangle calculator.
See also our trigonometric triangle calculator.

Next similar math problems:

  1. Frameworks is bad
    space Calculate how many percent will increase the length of an HTML document, if any ASCII character unnecessarily encoded as hexadecimal HTML entity composed of six characters (ampersand, grid #, x, two hex digits and the semicolon). Ie. space as:  
  2. Reference angle
    anglemeter Find the reference angle of each angle:
  3. Maple
    tree_javor Maple peak is visible from a distance 3 m from the trunk from a height of 1.8 m at angle 62°. Determine the height of the maple.
  4. Reflector
    lamp Circular reflector throws light cone with a vertex angle 49° and is on 33 m height tower. The axis of the light beam has with the axis of the tower angle 30°. What is the maximum length of the illuminated horizontal plane?
  5. The ball
    ball1_4 The ball was discounted by 10 percent and then again by 30 percent. How many percent of the original price is now?
  6. High wall
    mur I have a wall 2m high. I need a 15 degree angle (upward) to second wall 4 meters away. How high must the second wall?
  7. Percentage increase
    percent_31 Increase number 400 by 3.5%
  8. Center traverse
    trianles It is true that the middle traverse bisects the triangle?
  9. Highway repair
    truck_6 The highway repair was planned for 15 days. However, it was reduced by 30%. How many days did the repair of the highway last?
  10. Summerjob
    tree2 The temporary workers planted new trees. Of the total number of 500 seedlings, they managed to plant 426. How many percents did they meet the daily planting limit?
  11. The Chemistry test
    test The Chemistry test contained 8 questions, each with 3 points. Peter scored 21 points. How many percent did Peter write a test?
  12. Theorem prove
    thales_1 We want to prove the sentence: If the natural number n is divisible by six, then n is divisible by three. From what assumption we started?
  13. Persons
    ball1_6 Persons surveyed:100 with result: Volleyball=15% Baseball=9% Sepak Takraw=8% Pingpong=8% Basketball=60% Find the average how many like Basketball and Volleyball. Please show your solution.
  14. Road drop
    atan On a straight stretch of road is marked 12 percent drop. What angle makes the direction of the road with the horizontal plane?
  15. Art school
    skola_1 Every fifth pupil 9A goes to art school. How many percent of pupils in class 9A go to art school?
  16. Percentages
    permutations_3_3 52 is what percent of 93?
  17. Profit gain
    percent_12 If 5% more is gained by selling an article for Rs. 350 than by selling it for Rs. 340, the cost of the article is: