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madam [21]
3 years ago
6

When Sam’s science teacher assigns the class some online reading assignments about marine biology, Sam races home after school.

He is excited to start reading—he wants to learn as much as he can about the subject because he is planning a career in marine biology. He studies the reading material closely, memorizing the difficult words and taking many notes. When it comes time for the test, he gets a high grade, improving his overall class grade as a result.
What is the main reason Sam is so actively engaged with the text he is reading?

He wants to do well on the upcoming test.
He needs to increase his understanding of difficult vocabulary.
He wants to improve his overall class grade.
He is highly interested in the subject matter.
SAT
2 answers:
Nonamiya [84]3 years ago
6 0

Answer:

D) He is highly interested in the subject matter.

Explanation:

Nady [450]3 years ago
4 0

Answer:

D

Explanation:

It makes the most sense

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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
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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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