Question angle-
- Angle upper A upper C upper B is a right angle.
- The length of side upper A upper B is 42.
- The length of side upper A upper C is 41.
- A note indies the figure is not drawn to scale.
What is the value of in the triangle shown?
Angle upper A upper C upper B is a right angle. The length of side upper
Hard-difficulty · SAT Math · Right Triangles & Trigonometry — Trig ratios (sin, cos, tan) in right triangles. Read the question above, select your answer, and check the full explanation below to understand exactly why the correct choice works.
Answer explanation
Choice B is correct. The cosine of an acute angle in a right triangle is defined as the ratio of the length of the leg adjacent to the angle to the length of the hypotenuse. In the triangle shown, the length of the leg adjacent to angle is , and the length of the hypotenuse is . Therefore, .
Choice A is incorrect. This is the value of .
Choice C is incorrect and may result from conceptual or calculation errors.
Choice D is incorrect and may result from conceptual or calculation errors.
More Right Triangles & Trigonometry practice questions
- The length of a rectangle’s diagonal is 5 17 , and the length of
- One angle is a right angle. The measure of a second angle is x/li>
- In the figure above, . If and , what is the length of ?
- One angle is a right angle. The measure of a second angle is x/li>
- R S = 440 S T = 384 T R = 584 The side
- What is the value of sin 42 π ?
- One angle is a right angle. The length of the side opposite the right
- What is the value of tan 92 π 3 ?
Browse all Additional Topics in Math practice questions or return to the full SAT question bank.