Solve for m2 = x+69 2 60" Xe
1 answer:
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Answer:
B. 147 feet
Step-by-step explanation:
We can easily imagine a right triangle for this problem. The height of the triangle is what we're looking for (x), at the bottom of x, we have the right angle formed by the building and the ground. The other side of that right angle is the distance to the car (300 ft). On top of the x side, we have the angle of 63 degrees looking down, since Craig is looking down by 27 degrees (90 - 27 = 63).
We can easily apply the Law of Sines that says:
Then we can isolate c and fill in the values:
So, we know Craig's eyes are 153 feet above ground... since Craig is 6 feet tall, the balcony sits at 147 feet high (153 - 6 = 147).
What you're really doing is finding the slope of the line between two points you need to calculate.
Because a=3, you're told that one point will always be (3, f(3)).
The second point will be (3+h, f(3+h)).
For the first point, f(3) = 7/3, so your first point is always (3, 7/3).
<u>For h=1</u>
The x-value of your second point is a+h, or 3+1 = 4 in this case.
f(4) = 7/4.
So the average rate of change, aka the slope of the line between (3, 7/3) and (4, 7/4), is the usual slope formula:
In this h=1 situation, that becomes:
You're repeat this process for each new h-value.