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MrRissso [65]
4 years ago
15

A tower is 200 ft tall to the nearest degree find the angle of elevation from a point of 50 feet from the base of the tower to t

he top of the tower?
Mathematics
1 answer:
Elodia [21]4 years ago
3 0

Answer:

Step-by-step explanation:

What you have here is classic right triangle trig.  The height of the tower is the height of a right triangle, and the point 50 feet from the base of the tower is the base of the triangle.  The angle of elevation is the base angle that is NOT the right angle.  The height is opposite the base angle, while the base is adjacent to the angle, so we need the tangent ratio to find the angle.  Here's what we have:

tan(\theta)=\frac{200}{50}

When you are looking for a missing angle, you use the inverse of the angle on your calculator.  To do this, hit the 2nd button, then tan, and what you see on your screen is

tan^{-1}(

Enter 200/50 (or 4) and hit "enter" to find the missing angle.  It comes out to 75.9 so 76 degrees.

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36% of what number is 18? SHOW YOUR WORK
Murljashka [212]
So 36% of x is 18
percent is parts out of 100
36%=36/100=0.36
'of' can be translated as muitiply
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divide both sdies by .36
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the number is 50
8 0
4 years ago
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If p is inversely proportional to the square of q, and p is 25 when q is 3, determine p
ArbitrLikvidat [17]

Answer:

p = 9 when q = 5.

Step-by-step explanation:

p is inversely proportional to the square of q

This means that:

p = \frac{k}{q^2}

In which k is a constant multiplier.

p is 25 when q is 3

We use this to find k.

p = \frac{k}{q^2}

25 = \frac{k}{3^2}

k = 25*9 = 225

So

p = \frac{225}{q^2}

Determine p when q is equal to 5.

p = \frac{225}{q^2} = \frac{225}{5^2} = 9

p = 9 when q = 5.

6 0
3 years ago
What term best describes the graph of y = x - 1?<br>Increasing, Decreasing, Constant, or Positive​
egoroff_w [7]

Answer : increasing

Step-by-step explanation:

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5 0
3 years ago
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If the degree measure of an angle is 40° less than 3 times the degree measure of its supplementary angle, what is the degree mea
pishuonlain [190]
Let the measure of the unknown angle is x °
Supplementary angles sum up to 180°. So the supplementary angle of x° will be (180 - x)°

According to the given data, measure of x is 40° less than 3 times the measure of its supplementary angle (180 - x). So we can set up the equation for this scenario as:

x = 3(180 - x ) - 40 \\  \\ &#10;x = 540 - 3x - 40 \\  \\ &#10;x + 3x = 500 \\  \\ &#10;4x = 500 \\  \\ &#10;x = 125

So the degree measure of the required angle is 125°. 

6 0
3 years ago
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A cashier has a total of 30 bills, consisting entirely of $1 bills, $5 bills, and $20 bills. The total dollar amount of these bi
kolbaska11 [484]

Answer:

Five= 9 One= 6 Twenty= 15

Step-by-step explanation:

A cashier has a total of 30 bills, made up of ones, fives, and twenties.

o+f+t=30,

The number of twenties is 9 more than the number of ones.

t=9+o,

The total value of the money is $351.

o+5f+20t=351

so we have

o+f+t=30, t=9+o,

o+5f+20t=351

f = 9, o = 6, t = 15

6 0
3 years ago
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