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1 answer:
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Answer:
So 67 degrees is one value that we can take the sine of such that is equal to cos(23 degrees).
(There are more values since we can go around the circle from 67 degrees numerous times.)
Step-by-step explanation:
You can use a co-function identity.
The co-function of sine is cosine just like the co-function of cosine is sine.
Notice that cosine is co-(sine).
Anyways co-functions have this identity:
or
You can prove those drawing a right triangle.
I drew a triangle in my picture just so I can have something to reference proving both of the identities I just wrote:
The sum of the angles is 180.
So 90+x+(missing angle)=180.
Let's solve for the missing angle.
Subtract 90 on both sides:
x+(missing angle)=90
Subtract x on both sides:
(missing angle)=90-x.
So the missing angle has measurement (90-x).
So cos(90-x)=a/c
and sin(x)=a/c.
Since cos(90-x) and sin(x) have the same value of a/c, then one can conclude that cos(90-x)=sin(x).
We can do this also for cos(x) and sin(90-x).
cos(x)=b/c
sin(90-x)=b/c
This means sin(90-x)=cos(x).
So back to the problem:
cos(23)=sin(90-23)
cos(23)=sin(67)
So 67 degrees is one value that we can take the sine of such that is equal to cos(23 degrees).
Answer: a) Dimensions of miniature is 0.17 × 0.08 × 0.5, b) 0.006 ft³.
Step-by-step explanation:
Since we have given that
Height of building = 1250 feet
Length of building = 424 ft
Width of building = 187 ft
Now, we know that The miniature version is just 1/ 2500 of the size of the original.
So, Height of miniature would be
Length of miniature would be
Width of miniature would be
a) What are the dimensions of the miniature Empire State Building?
Dimensions of miniature is 0.17 × 0.08 × 0.5
b. Determine the volume of the miniature building. Explain how you determined the volume.
Hence, a) Dimensions of miniature is 0.17 × 0.08 × 0.5, b) 0.006 ft³.