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mrs_skeptik [129]
3 years ago
7

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.
Mathematics
2 answers:
nadya68 [22]3 years ago
8 0
It would be about 55 meters
ira [324]3 years ago
6 0

Answer: 55 meters

Step-by-step explanation:

Let the height of the building be 'h'.

Since building is standing vertical to the ground making right angle.

Then , the triangle formed is a right triangle .

The given angle of elevation : 32^{\circ}

Using trigonometry , we have

\tan\theta=\dfrac{\text{Perpendicular}}{\text{Base}}\\\\\tan(32^{\circ})=\dfrac{h}{88}\\\\\Rightarrow\ 0.6248693519=\dfrac{h}{88}\\\\\Rightarrow\ h=0.6248693519\times88=54.988502967\approx55\text{ meters}

Hence, the approximate height of the building = 55 meters

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How do I find the absolute value
pychu [463]

Absolute value of function = - 9 / 3 .

The absolute value or modulus of a real number x, denoted by |x|, is the non-negative value of x without regard to its sign. Namely, |x|=x if x is a positive number, and |x|=-x if x is negative (in which case negating x makes -x positive) , and |0|=0.

For example, the absolute value of 3 is 3, and the absolute value of −3 is also 3. The absolute value of a number may be thought of as its distance from zero.

x ≥ 1.52 / 3 x - 1 = 2 / 3 x + 4⇒ -1 = 4 which is not possible .Now for all x ≤ 1.5- 2 /3 x + 1 = 2 / 3 x + 4⇒ 4 / 3 x = -3  x = - 9 /4 Hence absolute value = - 9 / 3 .

To learn more on absolute value follow link :

brainly.com/question/13041863

#SPJ9

8 0
1 year ago
Pleaassseeeee helpppppp,,,,!!!!!!
Flura [38]
Surface Area (SA) of a Cylinder formula:
SA = 2*pi*r*h+2*pi*r^2
If you fill in the formula:
SA = 2*3.14*2*9+2*3.14*2^2
Simplify:
SA = 6.28*18+6.28*4
SA = 113.04 + 25.12
SA = 138.16 in
I hope I helped 
If its wrong I'm super duper extra sorry!
6 0
3 years ago
Donnell and Maria are both members of a populationand a simple random sample is being conducted. If the chance of Donnell being
harina [27]

Answer:

289/290

Step-by-step explanation:

Given that the chance of Donnell being selected is 1/290

then P( Donnell being selected )= 1/290

Since Donnell and Maria are both member of a population.

from probability theorem which gives the likely hood of an event to happen which cannot be more than 1, then the probability of Donnell and Maria to be selected is 1

P(Donnell and Maria)= 1

But the chance of Donnell being selected is 1/290

Then,

1/290 + P(Maria)= 1

P(Maria)= 1-(1/290)

= 289/290

the chance of Maria being selected is 289/290

4 0
3 years ago
The cleaning crew cleans 100 homes per week and earns a weekly economic profit of $200. the cleaning crew charges $80 per home.
loris [4]
$80(100) + $200 = $8200
8 0
3 years ago
Suppose you charge $4.50/h for baby-sitting. How much will you earn baby-sitting for 3 1/2 hours?
Sergeu [11.5K]

Answer:

You will earn $15.75, $13.50, or $18 depending on how you are getting paid

Step-by-step explanation:

If you are getting paid a flat rate not by the hour, then simply multiply $3.50 by 3.5 to get $15.75

If you are getting paid by the hour, and only by full hours, the you get $3.50 for the first, second, and third hour, but not for the fourth hour because it has only been a half hour, so only $13.50.

If you are getting paid for each hour that you start, then you get $3.50 for four hours, or $18.00 total

8 0
3 years ago
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