- One angle is a right angle.
- The measure of a second angle is x°.
- The length of the leg opposite the angle with measure x° is 26.
- The length of the leg adjacent to the angle with measure x° is 7.
- A note indicates the figure is not drawn to scale.
In the triangle shown, what is the value of ?
Correct answer: C
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.
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