If agronomists used an exponential model to fit the data, which function h(t), which represents the height of the beanstalk t da
ys after planting, best fits the data? Beans begin to sprout on the 14th day. Consider the value predicted by the model on the 14th day. Which statement is true?
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Drawing a diagram to represent the information you've given, the only angle we are missing is B. We can find that by subtracting the two we're given from 180:
180 - 90 - 48.8 = 41.2
<em>m</em>∠<em>B</em> = 41.2°.
We can use the angles and the one side we're given to find the remaining sides. Since we do not know the length of the hypotenuse, AB, we cannot use sine or cosine. We must use tangent (the ratio for tangent is opposite/adjacent):
Multiply both sides by 1.6:
This is the length of side AC, which is opposite to angle B.
To find the length of AB we can use the Pythagorean Theorem:
The length of side AC, the hypotenuse, is 4 inches.
180 - 90 - 48.8 = 41.2
<em>m</em>∠<em>B</em> = 41.2°.
We can use the angles and the one side we're given to find the remaining sides. Since we do not know the length of the hypotenuse, AB, we cannot use sine or cosine. We must use tangent (the ratio for tangent is opposite/adjacent):
Multiply both sides by 1.6:
This is the length of side AC, which is opposite to angle B.
To find the length of AB we can use the Pythagorean Theorem:
The length of side AC, the hypotenuse, is 4 inches.