Option #1: Counting Principles #1
Write a report that answers the following questions and meet the list of requirements that follows.
Be sure to describe or define the Fundamental Counting Principle, combinations, and permutations in your paper introduction. Include detailed calculations and solutions in the body of your paper.
- A scrambled word game challenges the user to create three-letter words (nonsense words included) from five different letters. If a letter cannot be used in a word more than once, how many potential words can be created?
- Bella works at sub shop and wants to know how many different types of subs she can make considering all of the available options. There are six types of rolls, five types of meats, eight types of vegetables, and three types of cheeses. If two choices are made from each of the four categories, how many types of subs can Bella make?
- A bartender is concocting drinks using three different ingredients. How many different drinks can she make if she is choosing from among seven ingredients?
- Your paper should be 2-3 pages in length and should cite and integrate at least one credible outside source.
- Include a title page, an introduction, a body, a conclusion, and a Reference list.
- The introduction should summarize the problem and state what approach and method will be applied to solve it.
- The body of your paper should answer the questions posed in the problem, explain how you approached and approached and answered the question or solved the problem, and for each question, show all steps involved.
- The conclusion should summarize your findings and what you have determined from the data and your analysis, with a broader or personal perspective in mind when applicable.
- As with all written assignments, provide in-text citations and a reference page.
- Include any tables of data or calculations, calculated values, and/or graphs associated with this problem in the body of your assignment.
- Document formatting, citations, and style should conform to the CSU-Global Guide to Writing and APA Requirements. In addition, the items noted in the ?Good Writing Tips? section should be observed. Refer to the document (attached at the bottom of the page) Calculating Tree Height as an example of how the paper is to be formatted.
Running head: CALCULATING TREE HEIGHT Calculating Tree Height
MTH109 ? Mathematical Explorations
Colorado State University ? Global Campus
Dr. Al Gebrawiz
September 10, 2013 1 CALCULATING TREE HEIGHT 2
Calculating Tree Height The height of tall objects can be difficult to measure using direct measurement. It may
also be dangerous and lack accuracy. An alternative to direct measurement is available by
incorporating trigonometry and other direct measurements. In this assignment, the height of a
large tree was calculated using the trigonometric tangent function.
Methodology and Discussion
In this problem, the height of a large tree is unknown. The tree is standing on horizontal
ground and is 150 feet from Point A. The angle between the ground and the tip of the tree is 40°,
and is measured at Point A (Figure 1). The goal of this problem is to determine the height of the
tree using trigonometry. Point A 40°
150 feet Figure 1. Dimensions used to calculate tree height.
One portion of trigonometry deals with right angle triangles ? those that contain a right,
or 90°, angle. The tangent function describes the tangent of an angle as equal to the length of the
side opposite of the angle divided by the length of the side adjacent to the angle (not the
hypotenuse). This relationship can be used to calculate the height of the tree shown in Figure 1.
tan 40° = 0.84= tree height
150 feet tree height
150 feet CALCULATING TREE HEIGHT 3 tree height =0.84 ( 150 feet )
tree height =126 feet Errors can arise from inaccurate estimates of the angular measurement. Table 1 shows the
errors that would occur if incorrect angular estimates were made in the problem solved in this
paper. Errors can be significant, and can be minimized through the careful use of a protractor or
other accurate sighting device.
Results of Angular Measurement Errors in Calculating Tree Height
50 Estimated Height
42 Note: Estimated Height is calculated using Estimated Height = tan ? (150 feet).
The method described in this paper provides an accurate estimate of object height if right
angle geometry exists and if the horizontal distance and angle measurements are accurately
Trigonometry is a powerful tool. In this assignment, the height of an object was
calculated given the distance an object was from a point and the angle measured between the top
of the object and the horizon. This method does not provide an accurate estimate if a right
triangle is not formed between the object and the horizontal plane, such as an object standing
vertically on sloped ground. However, other simple trigonometric methods exist that can be used
for more complicated geometries (Gebrawiz, 2013). CALCULATING TREE HEIGHT 4 CALCULATING TREE HEIGHT 5
References Gebrawiz, A. B. (2013). Trigonometric measurement methodology. Madison, WI: Bolt Upright
Notice: Undefined index: payment_status in /home/aceyourh/studycourse.fun/wp-content/themes/premier/page-templates/paper-detail.php on line 248
This question was answered on: Oct 14, 2020
This attachment is locked
We have a ready expert answer for this paper which you can use for in-depth understanding, research editing or paraphrasing. You can buy it or order for a fresh, original and plagiarism-free copy (Deadline assured. Flexible pricing. TurnItIn Report provided)
Notice: Undefined variable: ip_country in /home/aceyourh/studycourse.fun/wp-content/themes/premier/page-templates/paper-detail.php on line 456
Need a similar solution fast, written anew from scratch? Place your own custom order
We have top-notch tutors who can help you with your essay at a reasonable cost and then you can simply use that essay as a template to build your own arguments. This we believe is a better way of understanding a problem and makes use of the efficiency of time of the student. New solution orders are original solutions and precise to your writing instruction requirements. Place a New Order using the button below.