the height of the house is
.
<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
⇒ 
⇒ 
⇒
..................(1)
Also , At point B
⇒ 
⇒
..............(2)
Equating both equations:
⇒ 
⇒ 
⇒ 
⇒ 
Putting
in
we get:
⇒
⇒ 
⇒ 
Therefore , the height of the house is
.
Answer:
its D Please put me as brain eat if correct
Good morning Brainiac
x+y = 13
1/2 x +y = 10
We gonna solve x+y=13 for x
So let's start by adding -y to both sides
x+y -y = 13-y
x= -y +13
Now substitute -y+13 for x in 1/2 x +y=10
1/2 x +y = 10
1/2 (-y+13)+y=10
1/2 y + 13/2 = 10
Now add -13/2 to both sides
1/2 y+13/2 -13/2 = 10- 13/2
1/2 y = 7/2
Now eliminate the common denominator which is 2
y = 7
Now we have the value for y, so lets find the value for x by substitute 7 for y in x= -y+13
x= -y+13
x= -7 + 13
x= 6
Answer : (6,7)
The answer is B
I hope that's help and if you have questions please let me know :)
Good luck
Answer:
10 years
Step-by-step explanation:
We can use the equation for simple interest: <em>I = P(1 + (R*T))</em>, and change some of the numbers: <em>2P = P(1 + (0.11*T))</em>
Divide: <em>2 = 1 + (0.11*T)</em>
Subtract: <em>1 = 0.11*T</em>
Divide: <em>T = 100/11 ≈ 9.09</em> ⇒ 10 years (rounded up because it won't be doubled until the next year)