Louie is trying to find a rectangular canvas for his art project. its height must measure 18 inches and form a 48° angle with the diagonal at the top of the canvas. what is the length of the diagonal of the canvas? round your answer to the nearest inch. 12 inches 14 inches 24 inches 27 inches

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01-08-2022
Mathematics

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Louie is trying to find a rectangular canvas for his art project. its height must measure 18 inches and form a 48° angle with the diagonal at the top of the canvas. what is the length of the diagonal of the canvas? round your answer to the nearest inch. 12 inches 14 inches 24 inches 27 inches

Sagot :

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tutorconsortium350 tutorconsortium350 · Answer 1 · 2022-08-13T17:06:49-04:00

The length of the diagonal of the canvas = 27 inches.

The correct option is D.

What is Pythagoras?

A fundamental relationship in Euclidean geometry between a right triangle's three sides is known as the Pythagorean theorem, or Pythagoras' theorem. The area of the square whose side is the hypotenuse is said to be equal to the total of the areas of the squares on the other two sides.

According to the given information:

the Hight of the rectangle = 18 inches

the angle it form sinθ = H/P

H = 18

P =

cosθ = 48

cosθ = H/P

cosθ =18/P

P = 18/cosθ

= 29.60

= 27

The length of the diagonal of the canvas = 27 inches.

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Sagot :

What is Pythagoras?

According to the given information:

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