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sattari [20]
3 years ago
14

A building in a downtown business area casts a shadow that measures 88 meters along the ground. The straight-line distance from

the top of the building to the end of the shadow it creates is at a 32° angle with the ground. What is the approximate height of the building? Round your answer to the nearest meter. The building is meters high.
Mathematics
2 answers:
Nonamiya [84]3 years ago
8 0

Answer:

55 meters

Step-by-step explanation:

just took on edg

gregori [183]3 years ago
3 0

Answer:

55

Step-by-step explanation:

edge assignment

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The cosine of 23° is equivalent to the sine of what angle
Archy [21]

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:

\cos(90^\circ-x)=\sin(x)

or

\sin(90^\circ-x)=\cos(x)

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).

6 0
3 years ago
If eight trash bags last for thirty days then how many trash bags do you need for 180 days
34kurt
Let's Just See How Many Times 30 Goes Into 180

\frac{180}{30}  = 6
Since 8 trash bags last 30 days, let's multiply

6 \times 8 = 48 \: bags
ANSWER

You'll Need 48 Trash Bags For 180 Days
5 0
3 years ago
Read 2 more answers
4x squared times -3x ^-5 y squared
Ad libitum [116K]

Answer:

Rewrite this question

5 0
3 years ago
The area of a triangle whose height is 1 more than 6 times it’s base is 13 square feet. If the base of the triangle is x feet wh
fredd [130]
Area of a triangle: A= 1/2(base)(hieght)

base=x
height= 6(base)+1= 6x+1

13= 1/2 × (x)(6x+1) 
(get rid of 1/2 by multiplying each side by 2)
26= (x)(6x+1)
26= (x × 6x)= 6x² (x × (+1))= x
26= 6x² + x
0= 6x²+x-26


Are either of those the answers? If not, list the options and I will be able to tell you which one is correct. Hope this helped!

5 0
3 years ago
Allison took 112 photos on vacation. She wants to put them in s photo album that holds 4 photos on each page. How many pages can
Blizzard [7]
28 pages

112 divided by 4 = 28
3 0
3 years ago
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