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4.2 Right Triangles & Trigonometry - Trig ratios (sin, cos, tan) in right triangles
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  • One angle is a right angle.
  • The measure of a second angle is x/li>
  • The length of the hypotenuse is 28.
  • The length of the leg adjacent to the angle with measure x)s 11.
  • A note indies the figure is not drawn to scale.

In the triangle shown, what is the value of cosx°?

Enter your answer:

One angle is a right angle. The measure of a second angle is x/li> The length

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

The correct answer is 1128. 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 the angle with measure x° is 11 units and the length of the hypotenuse is 28 units. Therefore, the value of cosx° is 1128. Note that 11/28, .3928, .3929, 0.392, and 0.393 are examples of ways to enter a correct answer.