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MakcuM [25]
3 years ago
15

What is the angle of elevation to the nearest tenth of a degree to the top of a 35-ft building from 75 ft away?

Mathematics
1 answer:
choli [55]3 years ago
6 0
You set up the equation with 35/75 and you said that equal to X tan. You then take your calculator and type in 35÷75 and press the equal button. You then hit the second function button and then press tan and it will give you 25

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Step-by-step explanation:

<u>Sum of (7x+4) and the opposite of 7x:</u>

  • 7x + 4 + (-7x) =
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Explain the geometric efect of z if you multiply z by ????????, where<br> ???????? = 1 + i
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Answer:

You will obtain a complex number rotated by an angle of 45 degrees (counterclockwise) with a modulus scaled by √2

Step-by-step explanation:

In order to see the effect of multiplying z by 1 + i, you can use the representation of complex numbers in the <em>Polar Form</em>. This representation gives you the angle formed by the complex number and the real axis and the distance from the origin to the point.

Let z=a+ib represent a complex number.<em> The Polar</em> Form is:

z = |z| (Cosα + iSinα)

Where |z| is the modulus of the complex number and α is the angle formed with the real axis.

|z| = √a²+b²

α= arctan (b/a)

The multiplication in<em> Polar Form</em> is:

Let Z0 and Z1 represent two complex numbers

Z0= |Z0| (Cosα + iSinα)

z1= |z1|(Cosβ + iSinβ)

The multiplication is:

Z0.Z1 =  |Z0||Z1| [Cos(α+β) + i Sin(α+β)]

Notice that when you multiply complex numbers, you are adding angles and multiplying modulus. The addition of angles can be seen as a rotation of the complex number on the plane and the multiplication of modulus can be seen as changing the modulus of the complex number.

The given number 1+i in the Polar Form is:

z = |z| (Cosα + i Sinα)

|z| = √1²+1² = √2

α = arctan(1/1) = 45°

Therefore, you will obtain a complex number rotated by an angle of 45 degrees with a modulus scaled by √2

8 0
2 years ago
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