A second group will work with a protractor and plumb bob to determine the actual angle from the ground to the railing.
A hands on experience with calculating tan q and arctan q given values for the opposite side x and the adjacent side y.
| The students will be divided into two groups. One group will work with a tape measure
to determine the vertical drop from the top of the West side 2nd floor railing
on the A building to the ground and then from there to the intersection of the walkways to
the West. A second group will work with a protractor and plumb bob to determine the actual angle from the ground to the railing. |
|
Group Arctangent data table:
| 1. | y | |
| 2. | x | |
| 3. | y ÷ x | |
| 4. | arctangent(y ÷ x) |
Group Tangent data table:
Take care to measure q
from the ground.
| 5. | q | |
| 6. | tan q |
Exercises:
7. Matching exercise: Draw lines between the matching values in the data above:
| 1. | ||
| 2. | 5. | |
| 3. | 6. | |
| 4. |
True or False (use the values from the laboratory if you are uncertain):
8. q = arctan (y ÷ x)
9. tan q = arctan (y ÷ x)
10. tan (y ÷ x) = q
11. arctan( tan q ) = arctan (y ÷ x)
12. tan q = (y ÷ x)
13. A mountain is 10400 meters away and 756 meters high. What will the angle of elevation be between the ground and the top of the mountain?
Side note:
This document is a dual purpose document. This document was composed in HTML. The document uses several sleights of HTML to achieve various elements and layouts. As such it is a useful for dissection by students such as the CA 106 students and other HTML authors. Note the use of font tags to display the Greek letter theta. The division symbol was originally produced by the code ÷
The code I used may no longer appear in the HTML view nor in NotePad: FrontPage Express simply displayed the division sign after the code was entered into the HTML window. The full text of all available letter codes is given near the end of HTML 3.2 Reference Specification.
Another code used is the nonbreaking space The code is the only way to place consecutive spaces in HTML without using
tags. The nonbreaking space was used to adjust the spacing between question numbers and questions.
Other format sleights of hand include the creation of matching boxes by formatting only specific cells of a table. The document also includes colored text.
The drawing was done as a bitmap using Microsoft Paint and then converted to a GIF using Microsoft Image Composer.
This document is a part of my own effort to demonstrate the use and potential of the HTML format. This page will eventually be loaded up to the geocities site. Another advantage to HTML is that it can internally reference existing documents: "For information the Title III Math program at the College of Micronesia-FSM click here." Footnotes in HTML are hyperlinks to existing documentation.
Direct questions to: Dana Lee Ling
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