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irakobra [83]
3 years ago
12

A tiny but horrible alien is standing at the top of the Eiffel Tower (which is 324324324 meters tall) and threatening to destroy

the city of Paris! A Men In Black agent is standing at ground level, 545454 meters across the Eiffel square, aiming his laser gun at the alien. At what angle, in degrees, should the agent shoot his laser gun? Round your final answer to the nearest tenth. ^\circ ∘ degrees

Mathematics
1 answer:
DedPeter [7]3 years ago
7 0

Answer:

A tiny but horrible alien is standing at the top of the Eiffel Tower (which is 324 meters tall) and threatening to destroy the city of Paris! A Men In Black agent is standing at ground level, 54 meters across the Eiffel square, aiming his laser gun at the alien. At what angle, in degrees, should the agent shoot his laser gun? Round your final answer to the nearest tenth

The agent shoot his laser gun at 80.5 degree.

Step-by-step explanation:

Given:

Height at which the horrible alien is standing = 324 m

Distance from the (tower) where the agent is = 54 m

According to the question:

Men In Black agent is aiming his laser gun to shoot the horrible alien.

Let the angle at which the agent shoot his gun be " Ф "

As from the situated depicted we can draw a right angled triangle.

Using trigonometric ratios:

tan (Ф) = opposite/ adjacent

In triangle OPQ .

The adjacent side = 54 m

The opposite side = 324 m

⇒ Plugging the values.

⇒ tan(\phi) = \frac{opposite}{hypotenuse}

⇒  tan(\phi) = \frac{324}{54}

⇒ (\phi) = tan^-^1(\frac{324}{54})

⇒ \phi=80.53

Nearest tenth it is 80.5 degrees.

So,

Men In Black must shoot the laser gun at an angle of 80.5 degrees.

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Error Bound = 0.04

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Whenever we want to estimate parameter from a subset (or sample) of the population, we need to considerate that your estimation won't be a 100% precise, in other words, the process will have a random component that prevents us from always making the exact decision.

With that in mind, the objective of a confidence interval is to give us a better insight of where we expect to find the "true" value of the parameter with a certain degree of certainty.

The estivamative of the true difference between proportions was -0.19 and the confidence interval was [-0.23 ; -0.15].

The question also defines the error bound, as the right endpoint of the confidence interval minus the sample mean difference, so it's pretty straight foward:

Error Bound = -0.15 -(-0.19) = -0.15 + 0.19 = 0.04

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6 0
3 years ago
To win a basketball game, one team scored 113 points. They made a total of 41 two pointers and three pointers how many of the ba
anyanavicka [17]
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6 0
3 years ago
The volume of a box is 400in3. if the height is 10in and the length is 8in, what is the width of the box (volume=l•w•h)
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6 0
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The coordinate of point T are (0,6). The midpoint of ST is (1,-2). Find the coordinates of point S
enot [183]

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3 0
2 years ago
A yellow hot-air balloon is 100 feet off the ground and rising at rate of 8 feet per second.An orange hot-air balloon is 160 fee
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ANSWER

Find out the how long will the Yellow balloon be higher than the orange balloon.

To proof

Now  the diagram is given below

As given

A yellow hot-air balloon is 100 feet off the ground and rising at rate of 8 feet per second.

i.e height of the yellow baloon off the ground  = 100 feet

rising at rate = 8 feet per second.

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i.e height of the orange baloon off the ground  = 160 feet

rising at rate = 5feet per second.

Formula

Relative\ velocity = \frac{Relative\ Distance}{Relative\ time}

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= 8 -5

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= 60 feet

put in the formula

= \frac{60}{3}

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after  20 second Yellow balloon will be higher than the orange balloon.

Hence proved

8 0
3 years ago
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