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Tema [17]
3 years ago
5

To find the height of a pole, a surveyor moves 140 feet away from the base of the pole and then, with a transit 4 feet tall, mea

sures the angle of elevation to the top of the pole to be . To the nearest foot, what is the height of the pole?
Mathematics
2 answers:
Anika [276]3 years ago
8 0
<span>Let x = length of flag pole from the transit
then
tan(60) = x/90</span>
sladkih [1.3K]3 years ago
6 0
Taking the tangent of the 44° angle, knowing tan = opp/adj, we can do: tan 44° = x/140 x = 140 tan 44° x approx = 140 * 0.9657 = 135.198 Remembering to add in the 4 feet, we get that: The pole is approx 135.198 + 4 feet tall, aka 139.198 ft This makes intuitive sense because the angle
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D) Calculate the area of a circle with a circumference of 31.4 in.
dsp73

Answer:

A ≈ 78.54

Step-by-step explanation:

Area of a circle is A=πr^2

Since you do not know r (radius) you take the formula for the circumference of a circle (C=2πr), plug in 31.4 for C, and solve for r

Now that you have the radius of 4.99746521, you round it up to 5 and solve the area formula with 5 in as r.

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3 years ago
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Joe paid $10 for 8 batteries. Which graph represents the cost of the batteries he bought?
kolbaska11 [484]

Answer:

the 1st graph that has a point of (4,5)

8 0
3 years ago
If pr=5 in and pt=8in what is rs
Nadya [2.5K]
5(5+8)= RS^2
25+40=IRSI^{2}
65= IRSI^{2}
IRSI^{2} =\sqrt{65}

Hope it helps!
#MissionExam001
7 0
3 years ago
I’m confused on this one
kvv77 [185]
The answer is 42.

The question is asking for angle N. We know from the question that angle N is equal to angle E (Don't think about the scale factor because it only applies to the sides. They're just trying to trick you).

To find angle E:
79 + 6x + 11  + 7x - 14 = 180
Move numbers to the right side:
6x + 7x = 180 - 79 - 11 + 14
Combine like terms:
13x = 104
Divide both sides by 13:
x = 8
The formula for angle E:
7x - 14
Plug in the 8:
7 \times 8 - 14 = 56 - 14 = 42
The angle measure of E is 42. So angle N is automatically 42 too.

To solidify, we can try to use the formula which they give us for angle N:
3x + 18 = 24 + 18 = 42
8 0
3 years ago
Newton’s law of universal gravitation, F=Gm1m2/r²,measures the force of gravity between two masses m1 and m2,where r is the dist
Pavel [41]

Answer:

G=\frac{Fr^2}{m_1m_2}

Step-by-step explanation:

Since our equation is F=\frac{Gm_1m_2}{r^2} and we want to solve for G, first we divide both sides by the product m_1m_2, which gives:

\frac{F}{m_1m_2}=\frac{Gm_1m_2}{m_1m_2r^2}=\frac{G}{r^2}

So we are left with:

\frac{F}{m_1m_2}=\frac{G}{r^2}

Now we multiply both sides by r^2, which gives:

\frac{Fr^2}{m_1m_2}=\frac{Gr^2}{r^2}=G

Which gives us our final formula:

G=\frac{Fr^2}{m_1m_2}

6 0
3 years ago
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