What type of calculator do you think can be used on the Standardized Test?

Pat needs to determine the height of a tree before cutting it down to be sure that it will not fall on a nearby fence. the angle

Mekhanik [1.2K]

The height of the tree, which Pat needs to determine, before cutting it down to be sure that it will not fall on a nearby fence is 111 ft.

<h3>What is right angle triangle property?</h3>

In a right angle triangle, the ratio of the opposite side to the base side is equal to the tangent angle between them.

$\tan\theta=\dfrac{b}{a}$

Here, (b) is the opposite side, (a) is the base side.

Pat needs to determine the height of a tree before cutting it down to be sure that it will not fall on a nearby fence.

The angle of elevation of the tree from one position on a flat path from the tree is

$H=40^o$

From a second position,

$I=60\rm\; ft$

Farther along this path it is,

$b=30^o$

Let the distance between tree and first position is x. Thus, from the trigonometry,

$\tan 40=\dfrac{h}{x}\\h=x\tan 40$ ....1

The distance between tree and second position is (x+60) ft. Thus, again from the trigonometry,

$\tan 30=\dfrac{h}{x+60}\\h=(x+60)\tan 40$ ......2

Compare the equation 1 and 2,

$x\tan (40)=(x+60)\tan 30\\0.839x=0.577x+34.64\\0.839x-0.577x=34.64\\x=\dfrac{34.64}{0.262}\\x=132.25\rm\; ft$

Put this value in equation 1 as,

$h=(132.25)\times \tan40\\h\approx111\rm\;ft$

Thus, the height of the tree, which Pat needs to determine, before cutting it down to be sure that it will not fall on a nearby fence is 111 ft.

Learn more about the right angle triangle property here;

brainly.com/question/22790996

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7 0

2 years ago

What does physical erosion do

Andru [333]

Physical erosion is the process where rocks change their physical properties with out changing there basic chemical components. :8)

5 0

3 years ago

Visit the web site for a well-known company, and find the section that states its mission. What is the company's mission? how do

netineya [11]

Considering this question, the website visited is Walmart. Walmart's corporate mission is “<u>to save people money so they can live better.</u>"

Walmart's mission relates to the type of products the company sells because they offer plentiful commodities at everyday low prices to customers.

The mission statement does not surprise me about the company because it matches its operation as they claimed.

Hence, in this case, it is concluded that a mission statement is a great way to understand a company better.

Learn more about the mission statement here: brainly.com/question/24938435

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2 years ago

Which of the following statements about masters programs is not correct

KengaRu [80]

You didn't provide any statements...

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3 years ago

How can scientists ensure that their results are reliable? check all that apply. by making multiple observations by repeating tr

Neko [114]

The scientists ensure that their results are reliable by repeating trials.

Given that scientists ensure that their results are reliable.

We are required to tell the way how scientists ensure that their results are reliable.

Reliability is basically defined as the probability that a product, system, or service will perform its intended function adequately for a specified period of time, or will operate in a defined environment without failure.

Reliability increases from repeating trials.It is like vaccines. Firstly the trials to be made on small number of persons, then the numbers increases and then ultimately the trials are done on the large number of persons.

Hence the scientists ensure that their results are reliable by repeating trials.

Learn more about reliability at brainly.com/question/1265793

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4 0

1 year ago