A large helium balloon is tethered to the ground by two cables. One cable is 100 feet long and forms an 80 degree angle with the
ground. The second cable forms a 40 degree angle with the ground. How long is the second cable to the nearest foot? Also, how far apart are the tethers, rounded to the nearest foot?
1 answer:
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The question is missing the graph. So, it is attached below.
Answer:
(D) 3.2
Step-by-step explanation:
Given:
A graph of height versus width.
The equation given is:
Height = constant × Width
Rewriting in terms of 'constant'. This gives,
------------- (1)
The width is plotted on the X-axis and the corresponding height is plotted on the Y-axis.
The four points plotted on the line are:
.
Now, any point will satisfy equation (1).
Consider the point (0.5, 1.6). So, height = 1.6 and width = 0.5. Therefore,
Also, we observe that for all the remaining points,
.
Hence, the value of the constant is 3.2.
Option (D) is correct.
