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3 years ago

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The angle of elevation to the top of a 20-story skyscraper is measured to be 2 degrees from a point on the ground 5,280 feet fro

m the building. What is the height of the skyscraper to the nearest hundredth foot?

2 answers:

spin [16.1K]3 years ago

7 0

<span>Height of the skyscraper to the nearest hundredth foot
= 5280 Tan(2)
= </span>184.38

Vlad1618 [11]3 years ago

3 0

Answer:

$184.38\ ft$

Step-by-step explanation:

we know that

In a right triangle the tangent function of an angle $\theta$ is equal to divide the opposite side to the angle $\theta$ by the adjacent side to the angle $\theta$

In this problem we have

$\theta=2\°$

$adjacent\ side=5,280\ ft$

Let

h-----> the opposite side to the angle $\theta$ (represent the height)

so

$tan(2\°)=h/5,280$

$h=5,280*tan(2\°)=184.38\ ft$

see the attached figure to better understand the problem

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-3.6,-5.4,-8.1,-12.15 arithmetic or geometric or neither.

Brums [2.3K]

Answer:

Geometric Sequence

Step-by-step explanation:

1. Check the difference.

The difference between the 1st and 2nd term

$( - 5.4) - ( - 3.6) = - 1.8$

The difference between the 2nd and 3rd term

$( - 8.1) - ( - 5.4) = - 2.7$

The difference is not the same. Therefore, it is not an arithmetic sequence.

2. Check the ratio

The ratio between the 1st and 2nd term

$( - 5.4) \div ( - 3.6) = 1.5$

The ratio between the 2nd and 3rd term

$( - 8.1) \div ( - 5.4) = 1.5$

The ratio is the same. Therefore, it is a geometric sequence.

8 0

3 years ago

Find the solution of the problem (1 3. (2 cos x - y sin x)dx + (cos x + sin y)dy=0.

lakkis [162]

Answer:

$2*sin(x)+y*cos(x)-cos(y)=C_1$

Step-by-step explanation:

Let:

$P(x,y)=2*cos(x)-y*sin(x)$

$Q(x,y)=cos(x)+sin(y)$

This is an exact differential equation because:

$\frac{\partial P(x,y)}{\partial y} =-sin(x)$

$\frac{\partial Q(x,y)}{\partial x}=-sin(x)$

With this in mind let's define f(x,y) such that:

$\frac{\partial f(x,y)}{\partial x}=P(x,y)$

and

$\frac{\partial f(x,y)}{\partial y}=Q(x,y)$

So, the solution will be given by f(x,y)=C1, C1=arbitrary constant

Now, integrate $\frac{\partial f(x,y)}{\partial x}$ with respect to x in order to find f(x,y)

$f(x,y)=\int\ 2*cos(x)-y*sin(x)\, dx =2*sin(x)+y*cos(x)+g(y)$

where g(y) is an arbitrary function of y

Let's differentiate f(x,y) with respect to y in order to find g(y):

$\frac{\partial f(x,y)}{\partial y}=\frac{\partial }{\partial y} (2*sin(x)+y*cos(x)+g(y))=cos(x)+\frac{dg(y)}{dy}$

Now, let's replace the previous result into $\frac{\partial f(x,y)}{\partial y}=Q(x,y)$ :

$cos(x)+\frac{dg(y)}{dy}=cos(x)+sin(y)$

Solving for $\frac{dg(y)}{dy}$

$\frac{dg(y)}{dy}=sin(y)$

Integrating both sides with respect to y:

$g(y)=\int\ sin(y) \, dy =-cos(y)$

Replacing this result into f(x,y)

$f(x,y)=2*sin(x)+y*cos(x)-cos(y)$

Finally the solution is f(x,y)=C1 :

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7 0

3 years ago

I need help pleasee

nikitadnepr [17]

Answer:

c is the answer

explination:

4*3 1/2=28/2

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6 0

3 years ago

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Stells [14]

Answer:

Distance traveled by the snowball = 45feet

Step-by-step explanation:

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1st pythagoras =

X² = 20² + 15²

X = (20² + 15²)¹/² = 25 feet

2nd pythagoras =

X² = 16² + 12²

X = (16² + 12²)¹/² = 20 feet

Distance traveled by the snowball = 20 + 25 = 45feet

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Answer:

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Step-by-step explanation:

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2 years ago

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