How do you know that 1/4 is a repeating decimal?
2 answers:
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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:
The equation that best models this situation is :
b.
Distance traveled by Train W = 1600 miles
Distance traveled by Train Z = 2,000 miles
Step-by-step explanation:
Given:
Time taken for Train W to complete a trip = 20 hours
Time taken for Train Z to complete a trip = 25 hours
The city Train Z is traveling to is 400 miles farther away than the city Train W is traveling to.
both trains have same speeds and start from same location.
To find the distance in total each train travels.
Solution:
<em>Let length of the trip of Train W be </em>= miles
Speed of Train W can be given as :
⇒
⇒
<em>So, the length of the trip of Train Z will be</em> = miles
Speed of Train Z can be given as :
⇒
⇒
Since the speeds are same, so the equation to find can be given as:
⇒
Solving for
Multiplying both sides by 100 to remove fractions.
⇒
⇒
Using distribution.
⇒
Subtracting both sides by
⇒
⇒
Thus, Distance traveled by Train W = 1600 miles
Distance traveled by Train Z = = 2,000 miles