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kkurt [141]
2 years ago
8

Find the lateral area for the prism

Mathematics
1 answer:
monitta2 years ago
6 0
Lateral area is the area of the sides only.
Each side is a rectangle.
A = 4*8 + 6*8 + (sqrt52) * 8
A = 32 + 48 + 57.7
A = 137.7 ft^2
OR
A = 32 + 48 + 57.69
A = 137.69 ft^2

Depends on required rounding.
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This is a terrible question. Send the publisher a nasty note.

First let's answer the question.

Cosine is adjacent over hypotenuse, so the cosine of the angle labeled 16 degrees is 24 (the adjacent side to 16 degrees) divided by 25 (the hypotenuse).

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Now I'm going to complain about the question.  24/25 is of course 0.96 exactly, while

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The cosine of 16 degrees is some awfully complicated algebraic number, a zero of some high degree polynomial with integer coefficients.  Worse yet, the angle whose cosine is 24/25 is almost certainly a transcendental number, not the zero of any such polynomial.

Trigonometry as practiced forces approximations to be employed.  Let's not sweep that under the rug in the questions, please.

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