Question

The tangent (tan) of an angle in a right-angled triangle is defined as

• A. The ratio between the lengths of opposite side of the angle to its adjacent side.
• B. The ratio between the lengths of opposite side of the angle to its hypotenuse.
• C. The ratio of the length of an adjacent side of an angle to the length of its hypotenuse.
• D. The ratio between the lengths of adjacent side of the angle to its hypotenuse.

Answer 1

The correct option is A

The ratio between the lengths of opposite side of the angle to its adjacent side.

The tangent of an angle in a right angle triangle is the ratio between the lengths of perpendicular and base.

So, here in right triangle ABC, tangent of angle A or tan A= $\frac{BC}{AB}$,

BC = opposite side of angle A

AB = adjacent side of angle A