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san4es73 [151]
3 years ago
5

You are in charge of creating a billboard advertisement that is 16 feet long and 8 feet tall. You make a scale drawing that is 3

2 inches wide and 16 inches high. What is the scale factor of your design?
The scale factor is
.
Mathematics
1 answer:
vovikov84 [41]3 years ago
7 0

Answer: 6 inches = 1 inch.

Step-by-step explanation: 16 ft is 192 inches. 192 in/ 32 = 6 so our scale factor is 6 inches = 1 inch.

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For many of these identities, it is helpful to convert everything to sine and cosine, see what cancels, and then work to build out to something.  If you have options that you're building toward, aim toward one of them.

{\tan(\theta)}={\dfrac{\sin(\theta)}{\cos(\theta)}    and   {\sec(\theta)}={\dfrac{1}{\cos(\theta)}

Recall the following reciprocal identity:

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So, the original expression can be written in terms of only sines and cosines:

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\sin(\beta) * \dfrac{\sin(\beta) \!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!{---}}{\cos(\beta) \!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!{---}} * \dfrac{1 }{\cos(\beta) } * \dfrac{\cos(\beta) \!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!{---}} {\sin(\beta) \!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!{---}}

\sin(\beta) *\dfrac{1 }{\cos(\beta) }

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