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lions [1.4K]
3 years ago
6

From a horizontal distance of 80.0 m, the angle of elevation to the top of a flagpole is 18 degrees. Calculate the height of the

flagpole to the nearest then of a meter.
Mathematics
1 answer:
jasenka [17]3 years ago
5 0

Answer: 84.1m

Step-by-step explanation:

Let the height of the flagpole be represented by x.

First and foremost, we have to know that the cosine of 18° = 0.9511.

The equation to get the height will then be:

0.9511 = 80/x

Cross multiply

(0.9511 × x) = 80

0.9511x = 80

Divide both side by 0.9511

0.9511x/0.9511 = 80/0.9511

x = 84.1

The height of the flagpole is 84.1m

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dolphi86 [110]

Answer:1256in^{2}

Step-by-step explanation:

The formula to find the radius of a sphere is 4(pi)r^{2}

3.14*4*100=1256

I hope this helped

7 0
3 years ago
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To input your angle measures in degrees, use the functions sind, cosd and tand, instead of sin, cos and tan. Zach stands at the
kramer

Answer:

  about 2949 feet

Step-by-step explanation:

The geometry of the situation can be modeled by a right triangle. The height of the cliff can be taken to be the side opposite the given angle, and the distance to the coyote will be the side adjacent to the given angle. The relation between these values is the trig function ...

  Tan = Opposite/Adjacent

__

<h3>setup</h3>

Filling in the known values, we have ...

  tan(6°) = (310 ft)/(distance to coyote)

<h3>solution</h3>

Multiplying by (distance to coyote)/tan(6°) gives ...

  distance to coyote = (310 ft)/tan(6°) ≈ 310/0.105104 ft

  distance to coyote ≈ 2949.453 ft

The coyote is about 2949 feet from the base of the cliff.

6 0
2 years ago
Please help me out with these no one is helping me.<br>Please anyone <br>​
Olin [163]

Answer:

Below.

Step-by-step explanation:

You find the values of y by substituting the values of x in the expression x^2 + 3x - 1.

So f(-4) = (-4)^2 + 3(-4) - 1 = 16-12-1 = 3

in the same way  f(-3) = -1, f(-2) = -3, f(-1) = -3,

f(0) = -1 and f(1) = 3.

Now plot the points (-4, 3) , (-3, -1) and so on  

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8 0
3 years ago
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An airline promotion to business travelers is based on the assumption that two-thirds of business travelers use a laptop compute
skad [1K]

Answer:

a

  The null hypothesis is  H_o  :  p =  0.67

   The alternative hypothesis is  H_a : p \ne 0.67

b

 The sample proportion is \^ p  =  0.65

Step-by-step explanation:

From the question we are told that

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      The number of people that use a laptop overnight is  k = 355

    The population proportion is  p =  \frac{2}{3}  =  0.67

   Generally

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Gnerally the sample proportion is mathematically represented as

        \^ p  =  \frac{ k}{n}

=>     \^ p  =  \frac{ 355}{546}

=>     \^ p  =  0.65

4 0
3 years ago
A squirrel is 5.0 m away from you while moving at a constant velocity of 3m/s away from you. How far away is the squirrel after
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20 meters away.......
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