Answer:
The answer is "1.30".
Step-by-step explanation:
Proportion of population
Ratio sample
Statistics of the test:


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
.
It is mentioned in the problem that the shape is a square, hence, we could say that all side's measurement is the same and it is equal. It can be written in a different arrangement of terms, but still, the value to be solved is the same. The sides can be written in the following forms:
S1=6(3X+8)+32+12X
S2=18X+48+32+12X
S3=18X+80+12X
S4=30X+80
Step-by-step explanation:
Let x represent the number.
We have 2x + 18 = 3x - 5, therefore x = 23.
The number is 23.