Answer:
or in slope y-intercept form :
Step-by-step explanation:
The easiest way of find the answer for this is to use what is called the "point-slope" form of a line, because you are in fact given the value of the slope (m) and also a point it goes through:
In our case the equation becomes:
This can also be written in the slope-intercept form by solving for "y" and operating to remove the parenthesis:
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 .