SAT OwlQuestion bank / Geometry and Trigonometry
SAT Right triangles and trigonometry practice questions
Right triangles and trigonometry is one of the skills tested in the Geometry and Trigonometry domain of the Digital SAT Math section. Below are 15 free practice questions sorted from easy to hard. Open one to answer it and see the explanation.
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Question 1
A right triangle has legs of length 8 and 15. What is the length of the hypotenuse?EasyQuestion 2
In a right triangle, one of the acute angles measures 30^ and the hypotenuse has length 14. What is the length of the siEasyQuestion 3
A right triangle has legs of length 5 and 12. What is the sine of the angle opposite the side of length 5?EasyQuestion 4
In right triangle ABC, angle C is the right angle and A = 513. What is the value of B?MediumQuestion 5
A 20-foot ladder leans against a vertical wall, and the ladder makes a 70^ angle with the level ground. Which expressionMediumQuestion 6
In right triangle JKL, angle K is the right angle. The cosine of angle J is 0.6, and JK = 9. What is the length of the hMediumQuestion 7
A straight wheelchair ramp rises 3 feet over a horizontal distance of 12 feet. If is the angle the ramp makes with the hMediumQuestion 8
An isosceles right triangle has a hypotenuse of length 12. What is the area of the triangle?MediumQuestion 9
A surveyor stands 50 meters from the base of a building on level ground and measures the angle of elevation to the top oMediumQuestion 10
For an acute angle measuring x^, (x^) = 0.42. What is the value of ((90 - x)^)?MediumQuestion 11
In triangle ABC, angle B is a right angle, AC = 20, and A = 34. Point D lies on AC so that BD is perpendicular to AC. WhHardQuestion 12
In a right triangle, the measures of the two acute angles are x^ and (2x - 30)^. It is also true that (x^) = ((2x-30)^).HardQuestion 13
In triangle ABC, the measure of angle A is 45^ and the measure of angle B is 30^. The altitude from C to AB has length 6HardQuestion 14
Right triangles ABC and DEF are similar, with right angles at B and E, and vertex A corresponds to vertex D. If A = 725 HardQuestion 15
In triangle PQR, PQ = PR = 10 and QR = 12. What is the value of Q?Hard
A right triangle has legs of length 8 and 15. What is the length of the hypotenuse?EasyQuestion 2
In a right triangle, one of the acute angles measures 30^ and the hypotenuse has length 14. What is the length of the siEasyQuestion 3
A right triangle has legs of length 5 and 12. What is the sine of the angle opposite the side of length 5?EasyQuestion 4
In right triangle ABC, angle C is the right angle and A = 513. What is the value of B?MediumQuestion 5
A 20-foot ladder leans against a vertical wall, and the ladder makes a 70^ angle with the level ground. Which expressionMediumQuestion 6
In right triangle JKL, angle K is the right angle. The cosine of angle J is 0.6, and JK = 9. What is the length of the hMediumQuestion 7
A straight wheelchair ramp rises 3 feet over a horizontal distance of 12 feet. If is the angle the ramp makes with the hMediumQuestion 8
An isosceles right triangle has a hypotenuse of length 12. What is the area of the triangle?MediumQuestion 9
A surveyor stands 50 meters from the base of a building on level ground and measures the angle of elevation to the top oMediumQuestion 10
For an acute angle measuring x^, (x^) = 0.42. What is the value of ((90 - x)^)?MediumQuestion 11
In triangle ABC, angle B is a right angle, AC = 20, and A = 34. Point D lies on AC so that BD is perpendicular to AC. WhHardQuestion 12
In a right triangle, the measures of the two acute angles are x^ and (2x - 30)^. It is also true that (x^) = ((2x-30)^).HardQuestion 13
In triangle ABC, the measure of angle A is 45^ and the measure of angle B is 30^. The altitude from C to AB has length 6HardQuestion 14
Right triangles ABC and DEF are similar, with right angles at B and E, and vertex A corresponds to vertex D. If A = 725 HardQuestion 15
In triangle PQR, PQ = PR = 10 and QR = 12. What is the value of Q?Hard