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 .
The answer would be a height o 18 inches. how you figure that is by taking the total cubic inches and divide by the base number which is 42 inches. 756 divided by 42 is 18. and to check your answer multiply. 18 times 42 equals 756.
Ending Balance with Simple Interest Formula
This can be determined by multiplying the $1000 original balance times [1+(10%)(3)], or times 1.30. Instead of using this alternative formula, the amount earned could be simply added to the original balance to find the ending balance.Answer:
Step-by-step explanation:
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Answer:
x = -14
Step-by-step explanation:
The expression to write in this problem is:
"the sum of x and 12 equals the sum of half of x and 5"
We have:
- The sum of x and 12 is: 
- The sum of half of x and 5 is: 
So, the equation to write in this problem is
We solve it as follows:
1) First, we subtract 
from both sides, and we get
2) Then, we subtract 12 from both sides:
3) Now we multiply both sides by 2:
So, this is the solution.
The area of this square is said to be 576 square inches.
The formula for the area of a square is the length of one side squared.
Let's use l to represent the side length.
This means l^2 = 576.
To find l, find the square root of both sides.
<span>√576 = 24
</span>
The length of each side of the square is 24 inches.
But the question is asking for it in feet.
12 inches = 1 foot so 24 inches = 2 feet
This means each side of the square is 2 feet long.
Answer:
2 feet
