Next in pattern 7, 11, 2, 18, -7, ?
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From right triangle trigonometry, we have the following:
,
where the "opposite side" means the opposite side to angle with measure
, and "adjacent side" means the adjacent side to angle with measure .
is a constant which can be found using a calculator.
In the calculator of the pc press: view - scientific - 35 - tan.
This gives
Thus, back in the equation we substitute as follows and solve:
Answer: 8.4 cm
where the "opposite side" means the opposite side to angle with measure
In the calculator of the pc press: view - scientific - 35 - tan.
This gives
Thus, back in the equation
Answer: 8.4 cm