Loading Lesson Content...
This worksheet covers Trig Ratios, which is part of the Right Triangles and Trigonometry module in the SAT Math course. Practice problems are designed to strengthen key concepts and build confidence.
Related Lessons:
Learn shortcut methods and time-saving strategies with our SAT Math Destroyer Crash Course.
View Destroyer Course →Right Triangles and Trigonometry • SAT Math
Set 4 — Mastery
In triangle ABC, angle A is 30 degrees and side opposite angle A is 5. What is the length of the hypotenuse? [ \text{Hypotenuse} = \frac{5}{\sin(30^\circ)} ]
10
5
15
20
In triangle XYZ, if angle X is 45 degrees and the length of side XY is 7, what is the length of side XZ? [ \text{XZ} = \frac{7}{\cos(45^\circ)} ]
7\sqrt{2}
7
14
10
If angle A is 60 degrees in triangle ABC, and side BC (opposite angle A) is 8, what is the length of side AB? [ \text{AB} = \frac{8}{\sin(60^\circ)} ]
8\sqrt{3}
4\sqrt{3}
8
16
In triangle PQR, if angle P is 30 degrees and side PR is 10, what is the length of side PQ? [ \text{PQ} = 10\cdot\tan(30^\circ) ]
10\sqrt{3}
5\sqrt{3}
10
5
If in triangle DEF, angle D is 45 degrees and the length of side DE is 6, what is the length of side DF? [ \text{DF} = 6\cdot\sec(45^\circ) ]
6\sqrt{2}
6
3\sqrt{2}
12
In triangle GHI, if angle G is 30 degrees and side GH is 4, what is the length of side GI? [ \text{GI} = 4\cdot\cot(30^\circ) ]
4\sqrt{3}
4
2\sqrt{3}
8
If triangle JKL has angle J as 60 degrees and side JK as 5, what is the length of side JL? [ \text{JL} = 5\cdot\sin(60^\circ) ]
5\sqrt{3}/2
5/2
5\sqrt{3}
10
In triangle MNO, if angle M is 45 degrees and side MN is 8, what is the length of side MO? [ \text{MO} = 8\cdot\sin(45^\circ) ]
8\sqrt{2}/2
4\sqrt{2}
8
8\sqrt{2}
In triangle PQR, if angle P is 30 degrees and side PR is 4, what is the length of side QR? [ \text{QR} = 4\cdot\sec(30^\circ) ]
4\sqrt{3}
8
4
4\sqrt{2}
If triangle STU has angle S as 60 degrees and side ST as 6, what is the length of side SU? [ \text{SU} = 6\cdot\tan(60^\circ) ]
6\sqrt{3}
12
6
3\sqrt{3}
Feel free to use these worksheets in your classroom or share the link with students and colleagues!