Question

What is X=? // which choice is correct ? (Ignore my guessing choice mark)

Answer 1

Given:

A figure of a right angle triangle.

To find:

The length of the shorter leg.

Solution:

In a right angle triangle,

`\tan\theta =(Opposite)/(Adjacent)`

In the given triangle,

`\tan (60^\circ) =(18)/(x)`

`√(3)=(18)/(x)`

`x=(18)/(√(3))`

`x=(18)/(√(3))* (√(3))/(√(3))`

On further simplification, we get

`x=(18√(3))/(3)`

`x=6√(3)`

`x=10.3923`

`x\approx 10.4`

Therefore, the length of the shortest leg is 10.4 and the correct option is B.