Question

Louie is trying to find a rectangular canvas for his art project. its width must measure 20 inches and form a 35° angle with the diagonal of the canvas. what is the height of the canvas? round your answer to the nearest tenth.

Answer 1

The height of the canvas according to tangent is 14 inches.

According to the statement

we have given that the a rectangular canvas for his art project. its width must measure 20 inches and form a 35° angle with the diagonal of the canvas.

And we have to find the height of the canvas.

So, For this purpose,

The given information is:

The 35⁰ angle is part of a right triangle with a side of 20 inches.  The tangent of this angle (35⁰) is equal to the opposite side, x, over the adjacent side (20 inches).

Tan (35⁰) = x/20

0.7002 = x/20

x = 14.004 inches.

For more understanding of the statement please see the image below.

So, The height of the canvas according to tangent is 14 inches.

Learn more about tangent here

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