Question

What is the value of x?

15 sqrt 3
15 over 2
5 sqrt 3
15 sqrt 2 over 2

Answer 1

30 60 90 right triangle
ratio of short leg : long leg = a : a√3
so if log leg = 15, short leg x = 5√3

answer
C. 5√3

Answer 2

(C)

Explanation:

It is given in a right angled triangle, the angles are 60° and 30° an the base side of the triangle is 15.

We have to find the value of x.

Thus, using the trigonometry in the given right angled triangle, we have

`(x)/(15)=tan30^(\circ)`

⇒
`(x)/(15)=(1)/(√(3))`

⇒
`x=(15)/(√(3))`

⇒
`x=\frac{5{*}3}{√(3)}`

⇒
`x=5√(3)`

Thus, the value of x is
`5√(3)`.