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3 years ago

6

Mai is visiting Paris to see the Eiffel Tower. She is 80 feet away

2 answers:

Jlenok [28]3 years ago

7 0

Answer: height of the tower is 1064 feet

Step-by-step explanation:

We want to determine the height of the tower.

Assuming her line of sight of the top of the tower is a straight line, then a right angle triangle is formed. The height, h of the tower represents the opposite side of the triangle. Her distance from the foot of the tower represents the adjacent side of the triangle.

To determine h, we would apply the tangent trigonometric ratio which is expressed as

Tan θ = opposite side/adjacent side

Therefore,

Tan 85.7 = h/80

h = 80tan 85.7

h = 1064 feet

alexandr402 [8]3 years ago

7 0

Answer:

The tower is 1063.97 feet.

Step-by-step explanation:

please see the attached files for details

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Find the center and radius of this

ipn [44]

$\text{Hello there! :)}$

Answer:

$\boxed{\text{Center at } (7, -4), \text{ Radius of } 7.}$

$\text{Formula for a circle: } (x - h)^{2} + (y - k)^{2} = r^{2} \text{ Where:}$

$h = \text{ x-coordinate of center}\\\\k = \text{ y-coordinate of center}\\\\r = \text{ radius}\\\\\text{Therefore:}$

$\text{In the equation } (x - 7)^{2} + (y + 4)^{2} = 49:$

$h = 7\\\\k = -4\\\\r = \sqrt[]{49} = 7 \\\\\text{So:}$

$\text{Center at } (7, -4), \text{ Radius of } 7.$

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3 years ago

Read 2 more answers

What is the perimeter of quadrilateral ABCD?

alex41 [277]

Answer:

Perimeter of quadrilateral $ABCD$ will be $104$

Step-by-step explanation:

Given quadrilateral $A'B'C'D'$ is a reflection of quadrilateral $ABCD$ over the line $m$ .

So, all the corresponding sides of both the quadrilateral should be equal.

Also, we can see from the diagram that $A'D'=32,\ A'B'=22,\ BC=20,\ and\ CD=30$

As both image are reflection of same scale we can add corresponding sides.

So, the perimeter of $ABCD$ will be

$AB+BC+CD+DA$

And we have $AB=A'B'\ and\ AD=A'D'$

Now, perimeter of $ABCD$ will be $22+20+30+32$

Perimeter of quadrilateral $ABCD$ is $104$

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A company needs to purchase several new machines to meet its future production needs. It can purchase three different types of m

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Step-by-step explanation:

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4 years ago

A sogun would most likely be found?

Archy [21]

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4 years ago

The population of a town grows at a rate proportional to the population present at time t. The initial population of 500 increas

Mazyrski [523]

Answer:

The population in 40 years will be 1220.

Step-by-step explanation:

The population of a town grows at a rate proportional to the population present at time t.

This means that:

$P(t) = P(0)e^{rt}$

In which P(t) is the population after t years, P(0) is the initial population and r is the growth rate.

The initial population of 500 increases by 25% in 10 years.

This means that $P(0) = 500, P(10) = 1.25*500 = 625$

We apply this to the equation and find t.

$P(t) = P(0)e^{rt}$

$625 = 500e^{10r}$

$e^{10r} = \frac{625}{500}$

$e^{10r} = 1.25$

Applying ln to both sides

$\ln{e^{10r}} = \ln{1.25}$

$10r = \ln{1.25}$

$r = \frac{\ln{1.25}}{10}$

$r = 0.0223$

So

$P(t) = 500e^{0.0223t}$

What will be the population in 40 years

This is P(40).

$P(t) = 500e^{0.0223t}$

$P(40) = 500e^{0.0223*40} = 1220$

The population in 40 years will be 1220.

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4 years ago