Trigonometric Ratios and Unit Circles. See Image Below.
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Applying the trigonometry ratio, TOA, the measurement that is closest to the height of the tree in feet is: D. 21
Recall:
Trigonometry ratios can be applied to solve any right triangle for missing side lengths or angles. They are denoted with the acronym, SOH CAH TOA.
Using trigonometry ratio, TOA, find the length of the side of the tree in the bigger triangle as follows:
tan 60 = x/9
x = tan 60 × 9
x = 15.6 ft
Height of the tree = 15.6 + 5.2 = 20.8 ft.
- In conclusion, applying the trigonometry ratio, TOA, the measurement that is closest to the height of the tree in feet is: D. 21
Learn more about trigonometry ratio on:
A suitable calculator finds the determinant to be ...
... B. -203
_____
This can be calculated by hand by copying the first two columns to the right of the given matrix, then forming the sum of products of the downward diagonals and subtracting the sum of products of the upward diagonals.
... (-4)(3)(-5) +(-4)(-5)(-5) +(-3)(3)(2) -(-5)(3)(-3) -(2)(-5)(-4) -(-5)(3)(-4)
... = 60 -100 -18 -45 -40 -60
... = -203
