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One end of a seesaw 3metres long makes an angle of 25 degree with the ground,how high is the other end above the ground

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Sin25*3 witch is 1,2678547852220983085609354689432 meters

Posted on Nov 24, 2008

  • Imre Vetro Dec 02, 2008

    There's a rule for this.

    And if you had listened to the teacher instead of anything else you should know that or at least know where and what to find in the book or google it....

    Get a paper and start writing down the data what you have and drow a triangle like this.
    From that triangle we know that

    gamma is 90 degree
    alpha is 25 degree
    C side is 3 meter long
    a=?

    sin gamma sin alpha
    ----------------- = ----------
    c a

    sin 90 sin 25
    ---------- = ----------
    3 a


    sin 90= 1

    so

    1 sin25
    --- = ------------
    3 a

    1
    -- a = sin25
    3


    a = 3 (sin25)

    now grab your calculator and type in sin25*3

    Guess what?

    It's 1,2678547852220983085609354689432 as I told you before!

    So the seesaw's other end is 1,2678547852220983085609354689432 meters above the ground.

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From a point on the ground, a person notices a 110-foot antenna on the top of a hill subtends an angle of 1.5 deg. If the angle of elevation on the bottom of the antenna is 25 deg, find the height of the...


Draw one right-angle triangle:

D
C
/'
/ '
/ '
/ '
A===B

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D = top of the antenna

The A-B distance is constant.
The B-C distance is unknown.
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How do I get from degrees to radians? For some reason my TI-84 will not convert degrees to radians.


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Press the [MODE] key to access the mode comfiguration screen .
Set angle unit to to radian (see above)
Enter angle value in Decimal degrees only, use the [2nd][ANGLE] key sequence to have access to the degree symbol. The degree symbol must imperatively appear at the end of the angle value.

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Here are some examples
If you use angle values in DMS, it will not be converted to radians, but to decimal degrees.
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cd64e2c.jpg

A general formula is Pi radians =180 degrees
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How do I find degrees minutes and seconds on my ti 84 plus?


On this family of calculators, you do as follows
  1. Enter the first number (degrees), ex:15
  2. Press [2nd][APPS] (ANGLE) to access the Angle functions
  3. Select [1: degree symbol] [ENTER]
  4. Main screen shows 15 deg
  5. Enter the minutes, ex 25
  6. Press [2nd] [APPS](ANGLE) to access Angle functions
  7. Select [2:' apostrophe] [ENTER]
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  10. Press [ALPHA][+] (") to access the double quotation mark.
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  13. Calculator converts this in decimal degrees 15.42555556

To convert this back to DMS, press [ANGLE][|=>DMS][ENTER] and the calculator displays the original value 15 deg 25' 32"

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If a textbook problem is given in DMS notation, how do I enter the DMS notation into the TI84 to get decimal degrees?


On this family of calculators, you do as follows
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Press [2nd][APPS] (ANGLE) to access the Angle functions
Select [1: degree symbol] [ENTER]
Main screen shows 15 deg
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Press [2nd] [APPS](ANGLE) to access Angle functions
Select [2:' apostrophe] [ENTER]
Screen echoes 15 deg 25'
Enter the seconds number, ex 32
Press [2nd][+] (") to access the double quotation mark
Screen echoes 15 deg 25' 32"
Press [ENTER]
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To convert this back to DMS, press [ANGLE][|=>DMS][ENTER] and the calculator displays the original value 15 deg 25' 32"

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How to use the SIN botton EX: 25 x SIN(65)


Hello,

Before starting to enter the angle measure to calculate the value of a trigonometric function (sine, cosine, tangent) you must make sure that the current angle unit (degree, radian, grad) the calculator is configured to be using is the same that your problem requires. For instance, if you are solving a problem in which the angles are given in degrees you must verify that the calculator is configured to work in degrees.

When calculator is turned on, the angle unit is reset to degrees, but just to make sure it still is, look at the display: It should show the indicator DEG. If the display indicator is not DEG press the key [DRG] once or twice until you see the DEG on the screen.
The angle unit being taken care of, we turn to the actual calculation
Usually, to calculate the sine of an angle, you enter the angle value, press the [SIN] key and hit [=]. As you can see the sine function eats the number stored in its current register and calculates its sine.

To make sure that the calculator is taking the sine of 65 and not of 25*65, I would enter the calculation as follows
[65 [SIN] [*] 25 [=] : the result should be 22.65769468
or
25[*][ ( ] 65 [SIN] [ ) ] [=]

In the last key sequence, the use of parentheses forces the calculator to pause all previous calculations and wait for the closing right parenthesis. When the right parenthesis is entered, the calculator takes care of the contents of the parentheses first, then resumes the operations entered before the parentheses.

Importance of checking the angle unit before a calculation

Let us perform the calculation with angle unit
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  2. in radians : 25 *sin(65) = 20.67071699
As you can see, the two values are not very far apart and since you are expecting a value that does not exceed 25 you might want to check your result.

Hope it helps.
Thank you for rating this solution

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