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xxTIMURxx [149]

2 years ago

6

Tema de jos Va rog frumos Dau coroana instant

1 answer:

Firlakuza [10]2 years ago

3 0

Answer:

wow so much work you got it is 2 3 I can't understand ur writeing

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To estimate the height of a house Katie stood a certain distance from the house and determined that the angle of elevation to th

Nata [24]

the height of the house is $408ft$ .

<u>Step-by-step explanation:</u>

Here we have , To estimate the height of a house Katie stood a certain distance from the house and determined that the angle of elevation to the top of the house was 32 degrees. Katie then moved 200 feet closer to the house along a level street and determined the angle of elevation was 42 degrees. We need to find What is the height of the house . Let's find out:

Let y is the unknown height of the house, and x is the unknown number of feet she is standing from the house.

Distance of house from point A( initial point ) = x ft

Distance of house from point B( when she traveled 200 ft towards street = x-200 ft

Now , According to question these scenarios are of right angle triangle as

At point A

⇒ $Tan32 =\frac{Perpendicular}{Base}= \frac{y}{x}$

⇒ $Tan32 = \frac{y}{x}$

⇒ $y=x(Tan32 )$ ..................(1)

Also , At point B

⇒ $Tan42 = \frac{y}{x-200}$

⇒ $y=(x-200)(Tan42)$ ..............(2)

Equating both equations:

⇒ $(x-200)(Tan42) = x(Tan32)$

⇒ $x(Tan42-Tan32)=Tan42(200)$

⇒ $x=\frac{Tan42(200)}{(Tan42-Tan32)}$

⇒ $x=653ft$

Putting $x=653ft$ in $y=x(Tan32 )$ we get:

⇒ $y=x(Tan32 )$

⇒ $y=653(Tan32 )$

⇒ $y=408ft$

Therefore , the height of the house is $408ft$ .

4 0

2 years ago

What is it a continuous or discrete the length of boat

cluponka [151]

Answer:

discrete

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

You decide to put $5,000 in a savings account to save for a $6,000 downpayment on a new car. If the account has an interest rate

Nuetrik [128]

Answer:

Approx 2.61 years.

Step-by-step explanation:

Given that you decide to put $5,000 in a savings account to save for a $6,000 down payment on a new car.

That means A=6000 and P=5000

If the account has an interest rate of 7% per year and is compounded monthly,

Then r=7%= 0.07 and n=12 (monthly)

Now we need to find about how long does it take until you have $6,000 without depositing any additional funds.

So let's plug these values into compound interest formula and fine time t

$A=P\left(1+\frac{r}{n}\right)^{\left(nt\right)}$

$6000=5000\left(1+\frac{0.07}{12}\right)^{\left(12t\right)}$

$\frac{6000}{5000}=\left(1+0.00583333333333\right)^{\left(12t\right)}$

$1.2=\left(1.00583333333333\right)^{\left(12t\right)}$

$\ln\left(1.2\right)=12t\ ln[tex]\frac{\ln\left(1.2\right)}{12\ln\left(1.00583333333333\right)}=t$

\left(1.00583333333333\right)[/tex]

$2.61218303577=t$

Hence answer is approx 2.61 years.

5 0

3 years ago

Read 2 more answers

Number 29 please !!!

Yuri [45]

Answer:

7.6cm

Step-by-step explanation:

Sin(25)=x/18

x=18*sin(25)= 7.6cm

4 0

2 years ago

A gardener planted a shrub that is 34 inches tall. The shrub is expected to grow 2.5 inches each year. How many years will it ta

Stels [109]

It will take 20 years for the shrub to reach a height of 7 feet.

3 0

3 years ago