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3 years ago

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Stream supreme charges a monthly fee of $7 for membership and 1.75 per movie streamed. Another streaming movie service, download

empire, charges a monthly $4 for membership

1 answer:

Rudiy273 years ago

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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;

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7 0

2 years ago

Which statement about the ACT English test is accurate?A.The test is made up of both multiple-choice questions and a required es

Kamila [148]

Answer:

C. The test is made up of multiple-choice questions that are based on a series of passages.

Explanation:

ACT is an acronym for American College Test is a nonprofit organization that is mission-driven and administers the standardized test which are used to admit high school students into college in the United States of America.

Basically, the ACT test comprises of four academic skills area and these includes; English, reading, science and mathematics.

Additionally, the ACT test is a multiple-choice examination that is written by using pencil and paper.

Hence, the statement about the ACT English test which is accurate is that, the test is made up of multiple-choice questions that are based on a series of passages.

3 0

3 years ago

Which inequality is represented by the graph? y > Negative two-thirdsx 1 y < Negative two-thirdsx 1 y < Negative three-

Mrrafil [7]

Answer:

Its C

Explanation:

That's the answer on Edge

7 0

2 years ago

Brainly can I upload a picture because it is a shape

balu736 [363]

Answer:

what?

Explanation:

3 0

3 years ago

A researcher selects a sample from a district such that 25% of the children are between ages 5 and 6, 25% are between ages 7 and

Llana [10]

Answer:

Quota.

Explanation:

In Statistics, sampling can be defined as a process used to collect or select data (objects, observations, or individuals) from a larger statistical population using specific procedures.

There are various types of sampling used by researchers and these are;

1. Random sampling.

2. Systematic sampling.

3. Stratified sampling.

4. Cluster sampling.

5. Opportunity or convenience sampling.

6. Quota sampling.

Quota sampling can be defined as a non-probability sampling technique wherein a sample comprising of data from a population or homogeneous group are created.

In this scenario, a researcher selects a sample from a district such that 25% of the children are between ages 5 and 6, 25% are between ages 7 and 8, 25% are between 9 and 10, and 25% are between ages 11 and 12. Thus, the researcher is employing a quota sampling.

6 0

3 years ago