Question one-an
- One angle is a right angle.
- The measure of a second angle is x/li>
- The length of the leg opposite the angle with measure x)s 26.
- The length of the leg adjacent to the angle with measure x)s 7.
- A note indies the figure is not drawn to scale.
In the triangle shown, what is the value of ?
One angle is a right angle. The measure of a second angle is x/li> The length
Easy-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 C is correct. The tangent of an acute angle in a right triangle is defined as the ratio of the length of the side opposite the angle to the length of the shorter side adjacent to the angle. In the triangle shown, the length of the side opposite the angle with measure is units and the length of the side adjacent to the angle with measure is units. Therefore, the value of is .
Choice A is incorrect and may result from conceptual or calculation errors.
Choice B 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 ?
- 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 ?
- Triangle A B C is similar to triangle D E F , where angle
Browse all Additional Topics in Math practice questions or return to the full SAT question bank.