From a hot air balloon that is between his house and parade, john measures the angle of depression to his house of 35 and to the
parade of 42. If he is 3,500 feet from his house, how far is he from the parade to the nearest 10 feet?
2 answers:
4500 feet
Step-by-step explanation:
We can begin by finding x using the tangent rule;
The tangent of the angle = the length of the opposite side / the length of the adjacent side
Tan 35 = 3500 / x
X = 3500 / tan 35
X = 3500 / 0.7
X = 5000
Now that we have x we can calculate the value of ? using the same tangent rule;
Tan 42 = ? / 5000
? = tan42 * 5000
? = 0.9 * 5000
? = 4500
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