Question

What is the value of x?


103√ ​

10

​ 53√ ​

​​5

Answer 1

sin 60⁰= x/10
x=10*sin 60⁰
x=10*(√3/2)=5√3
x=5√3
Answer is x=5√3.

Answer 2

(C)
`5{√(3)`

Explanation:

From the given figure, we have

AB=x, AC=10 and ∠C=60°

Using trigonometry, we get

`{(AB)/(AC)}=sinC`

Substituting the given values, we get

⇒
`{(x)/(10)}=sin60^(\circ)`

⇒
`{(x)/(10)}={(√(3))/(2)}`

⇒
`x=10{*}(√(3))/(2)`

⇒
`x=5√(3)`

Therefore, the value of x is
`5{√(3)` units.