richie3922
20.11.2020 •
Mathematics
D(-2, 3), E(5,5), F(-4, 10)
Find the Measures of the sides of DEF, then classify it by its sides
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Ответ:
in this right triangle, we are given an angle and the adjacent side of the angle. now we have to find for the length of the opposite side. the formula that relates these 3 variables is the tan function which states that:
tan θ = opposite side / adjacent side
where opposite side is the height of the sail
substituting the values into the formula:
tan (40) = height / 2
rearranging in terms of height:
height = 2 * tan (40)
since tan θ = 1 / cot θ, therefore:
height = 2 / cot (40)
answer:
d. 2 divided by cot 40 degrees