Question

What is the length of the short leg in the 30-60-90 triangle shown below?

Answer 1

Answer:

Correct option is:

B. 5

Explanation:

The triangle is a right angled triangle.

Let a be a angle adjacent to 90°

then, tana=Side opposite to angle a/Side adjacent to angle a which is not the hypotenuse

Here, Let a=60°

`tan60\°=(5√(3))/(Length\ of\ short\ leg)`

`√(3)=(5√(3))/(Length\ of\ short\ leg)`

⇒ Length of short leg=5

Hence, Correct option is:

B. 5