Modded SAT Question Bank
by Abdullah Mallik dedicated to DPT SAT Batches and Someone Special | GitHub
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Test
Math
Domain
Geometry and Trigonometry
Skill
Right triangles and trigonometry
Difficulty
Medium
ID: 902dc959
Modded SAT Question Bank by Abdullah Mallik
The figure presents right triangle A B C. Side A C is horizontal, with A to the left of C, and side B C is vertical, with B above C. A right angle symbol is indicated at angle C. Side A B is labeled 29. Side A C is labeled 21. Side B C is labeled 20.

In the figure above, what is the value of tangent A?

  1. 20 over 29

  2. 21 over 29

  3. 20 over 21

  4. 21 over 20

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Correct Answer: C
Rationale

Choice C is correct. Angle A is an acute angle in a right triangle, so the value of tan(A) is equivalent to the ratio of the length of the side opposite angle A, 20, to the length of the nonhypotenuse side adjacent to angle A, 21. Therefore,  tangent A, equals 20 over 21.

Choice A is incorrect. This is the value of sin(A). Choice B is incorrect. This is the value of cos(A). Choice D is incorrect. This is the value of tan(B).

Question Difficulty: Medium
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