When astronauts Neil Armstrong and Buzz Aldrin first walked on
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 graph shifts 5 units left and 3 units up.
EXPLANATION
The given functions are:
and
We want to transform f(x) so that, it coincide with the g(x).
The required transformation is
Let us see why this works.
The transformation f(x+5)+3 will shift f(x) 5 units left and 3 units up.
The third choice is correct.