Question

For the right triangle shown, what is the tangent of angle A?

A) 2/3
B) 3/2
C) 3/4
D) 4/3

Answer 1

The correct answer is option C 3/4

Explanation:

It is given a right angled triangle ABC

To find the value of x

Hypotenuse² = Base² + height²

(x + 2)² = x² + (x + 1)²

x² + 4x + 4 = x² + x² + 2x + 1

x² -2x -3 = 0

We get x = 3 and x = -1

We take positive value x = 3

To find Tan A

Tan A = Opposite side/Adjacent side

= BC/AB = x/(x + 1) = 3/4

Therefore the correct answer is option C. 3/4