Geometry and TrigonometryHardTrig ratio for the larger acute angle
Geometry and Trigonometry practice question
A right triangle has legs of length 7 and 24. What is the sine of the larger acute angle?
- A. 24/25Correct
- B. 7/25
- C. 24/7
- D. 7/24
Answer: A. 24/25
The hypotenuse is 25. The larger acute angle is opposite the longer leg, 24: sin = 24/25.
Why the other answers are wrong
- B. 7/25
- 7/25 is the sine of the SMALLER acute angle.
- C. 24/7
- 24/7 is the tangent of the larger angle.
- D. 7/24
- 7/24 is the tangent of the smaller angle.
More Geometry and Trigonometry questions
- Hard
In a right triangle, one leg is 5 and the hypotenuse is 13. What is the length of the other leg? - Hard
A circle has a radius of 4. What is the length of an arc that subtends a central angle of 90°? - Hard
A circle is defined by the equation (x − 3)² + (y + 2)² = 25. What is the radius of the circle? - Hard
What is 135° expressed in radians? - Hard
What is the length of segment PT? - Hard
What is the measure, in degrees, of the central angle of this sector?
Not affiliated with the College Board. SAT is a trademark of the College Board.