Question

Given the diagram below what is tan 60?

Answer 1

Answer:

A

Step-by-step explanation:

The standard 30° - 60° - 90° has legs 1, $\sqrt{3}$ and hypotenuse 2

Here the hypotenuse = 4, hence legs are

2 and 2$\sqrt{3}$

Hence tan60° = $\frac{2\sqrt{3} }{2}$ = $\sqrt{3}$

Answer 2

Answer:

A) √3

Step-by-step explanation:

The tangent of an angle can be found by dividing the leg opposite the angle over the leg adjacent to it.

So, we have to find them.

The 30-60-90 rule says that in a right triangle with the angles 30°, 60° and 90°, the sides opposite those angles will have the ratio of 1:√3:2.

That means the side adjacent to 60° is 2 units long and the one opposite is 2√3 units long.

Dividing those two gives us (2√3)/2, which can be simplified to √3.