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3 years ago

If someone could answer this problem and explain how to do it that would be a HUGE help thanks-

Mathematics

2 answers:

nekit [7.7K]3 years ago

6 0

The answer is 19 inches. Hope it helps.

weeeeeb [17]3 years ago

5 0

Answer:

The answer to your question is 19 in²

Step-by-step explanation:

Data

angle = Ф = 25°

hypotenuse = 10 in

Area = ?

Process

1.- Calculate the long and short legs of this triangle using trigonometric functions.

sin Ф = Opposite side / hypotenuse

-Solve for Opposite side

Opposite side = hypotenuse x sin Ф

-Substitution

Opposite side = 10 x sin 25

-Result

Opposite side = 4.22 in = short leg (height)

cos Ф = Adjacent side / hypotenuse

-Solve for Adjacent side

Adjacent side = hypotenuse x cosФ

-Substitution

Adjacent side = 10 x cos 25

-Result

Adjacent side = 9.06 in = long leg = base

2.- Calculate the area

Area = base x height / 2

-Substitution

Area = 9.06 x 4.22 / 2

-Result

Area = 19.12 in² ≈ 19 in²

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4 years ago

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3 years ago

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Nady [450]

Answer:

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3 years ago

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1 year ago

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Correct answer is C.
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3 years ago

Read 2 more answers