By using the information given on the graph, we can see that a = 3.
<h3>
How to find the value of a?</h3>
Here we have an exponential of the form:
And by looking at the graph, it passes through (0, 4) and (2, 36), so we can write:
From the first equation we get that p = 4, replacing that on the second one we get:
So we conclude that a = 3.
If you want to learn more about exponential equations:
brainly.com/question/11832081
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3x + 18 + 12x + 12
15x + 20
<h3>
Answer: Approximately 119.76 meters</h3>
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Work Shown:
x = starting length of the shadow
y = height of the pole
tan(angle) = opposite/adjacent
tan(58) = y/x
1.6003345 = y/x
1.6003345x = y
x = y/1.6003345
x = (1/1.6003345)y
x = 0.62486936y
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When the angle changes, the adjacent side gets 90 meters longer
tan(angle) = opposite/adjacent
tan(36) = y/(x+90)
0.72654253 = y/(0.62486936y+90)
0.72654253(0.62486936y+90) = y
0.453994166y + 65.3888277 = y
65.3888277 = y-0.453994166y
65.3888277 = 0.546005834y
0.546005834y = 65.3888277
y = 65.3888277/0.546005834
y = 119.758478075162
y = 119.76
The height of the pole is about 119.76 meters.
