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This worksheet covers Trigonometry Ratios, which is part of the Trigonometry Destroyer module in the SAT Math Destroyer Crash Course course. Practice problems are designed to strengthen key concepts and build confidence.
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Set 3 — Mastery
In a right triangle, if the angle measures and the opposite side to angle is units, what is the length of the hypotenuse?
10
5\sqrt{3}
5\sqrt{2}
10\sqrt{2}
If in a right triangle, what is the ratio of the opposite side to the adjacent side to angle ?
3:1
1:3
1:1
3:2
In triangle , if angle , and the adjacent side to angle is units, what is the length of the opposite side?
8
8\sqrt{2}
4\sqrt{2}
16
What is the value of ?
\frac{1}{2}
\frac{\sqrt{3}}{2}
\frac{\sqrt{2}}{2}
1
If angle in triangle measures and the hypotenuse is units, what is the length of the side opposite to angle ?
5
10
10\sqrt{3}
15
In a right triangle, if the lengths of the opposite side and the adjacent side are equal, what is the measure of angle ?
45^{\text{o}}
30^{\text{o}}
60^{\text{o}}
90^{\text{o}}
What is the cosine of a angle?
\frac{\sqrt{3}}{2}
\frac{1}{2}
\frac{\sqrt{2}}{2}
1
What is the value of ?
1
0
2
\sqrt{2}
If , what is the value of ?
\frac{4}{5}
\frac{3}{5}
\frac{1}{5}
\frac{5}{4}
In triangle , if angle measures , and the length of the hypotenuse is units, with the side opposite angle measuring units, what is the length of the adjacent side?
12
8
10
11
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