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Gre4nikov [31]
2 years ago
11

A building 190 feet tall casts a 90 foot long shadow. if a person stands at the end of the shadow and looks up to the top of the

building, what is the angle of the person's eyes to the top of the building
Mathematics
1 answer:
Ivahew [28]2 years ago
5 0

Answer:

About 64.65 degrees

Step-by-step explanation:

\tan(x) =  \frac{190}{90}

x =  { \tan}^{ - 1}  \frac{190}{90}  = 64.65

Make sure your calculator is in degree mode.

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If ΔABC is dilated by a scale factor of 2 with a dilation center at vertex A, by what factor does the area of the triangle incre
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Use a graphing utility to graph the function and the damping factor of the function in the same viewing window.
Bas_tet [7]

Answer:

The function touches the damping factor

at x=\frac{(4n-3)\pi}{2} and x=\frac{(4n-1)\pi}{2}

The x-intercept of f(x) is

at x=n\pi

Step-by-step explanation:

Given function is f(x)=e^{-3x} sin(x) and damping factor as y=e^{-3x} and y=(-1)e^{-3x}

To find when function touches the damping factor:

For f(x)=e^{-3x} sin(x) and y=e^{-3x}

Equating the both the equation,

e^{-3x} sin(x)=e^{-3x}

sin(x)=1

x=\frac{(4n-3)\pi}{2}

For f(x)=e^{-3x} sin(x) and y=(-1)e^{-3x}

Equating the both the equation,

e^{-3x} sin(x)=(-1)e^{-3x}

sin(x)=(-1)

x=\frac{(4n-1)\pi}{2}

Therefore, The function touches the damping factor x=\frac{(4n-3)\pi}{2} and x=\frac{(4n-1)\pi}{2}

To find x-intercept of f(x):

For x-intercept, y=0

f(x)=e^{-3x} sin(x)

y=e^{-3x} sin(x)

e^{-3x} sin(x)=0

Hence, e^{-3x} is always greater than zero.

Therefore,sin(x)=0

x=n\pi

Thus,

The x-intercept of f(x) is at x=n\pi

7 0
4 years ago
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