Question

What is the value of tan (B) in the diagram?

Answer 1

Option C is correct.

Explanation:

tan (B) = Perpendicular / Base

For angle B:

Perpendicular = 5

Base = 5√3

tan (B) = Perpendicular / Base

tan (B) = 5/5√3

tan (B) = 1/√3

So, Option C is correct.

Answer 2

The correct answer is third option

1/√3

Explanation:

From the figure we can see a right angled triangle ABC.

Right angled at C.

AB = 10

AC = 5

BC = 5√3

Points to remember

Tan θ = Opposite side/Adjacent side

To find the value of tan(B)

Tan B = Opposite side/Adjacent side

= AC/BC

= 5/5√3

= 1/√3

Therefore the value of tan(B) = 1/√3