Question

What is the tangent ratio for angle A? Answer options: 1/7, 1, sqrt2, 1/sqrt2.

Answer 1

Answer: 1

Step-by-step explanation:

1. As you can see in the figure attached, the triangle is a right triangle.

2. You know that, by definition, the tangent is the shown below:

$tan\alpha=\frac{opposite}{adjacent}$

Where:

$opposite=7\\adjacent=7\\\alpha=A$

3. Now, you must substitute the values shown above.

4. Once you do this, you obtain that the tangent ratio for the angle A is:

$tanA=\frac{7}{7}\\tanA=1$

5. Therefore, the answer is the second option:

Answer 2

Answer:

The correct answer is option (2). 1

Step-by-step explanation:

Formula;-

tanα = Opposite side/Adjacent side

Where α be the one angle in the triangle

From the given figure we get,

Triangle ABC is a right angled triangle.

<C = 90°, AB =7√2,  BC = 7,  AC = 7

To find the  tangent ratio for angle A

tan A = Opposite side/Adjacent side

tan A = BC/AC = 7/7 = 1

Therefore the tangent ratio of angle A = 1

The correct answer is option (2). 1