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

Answer:

(C) $5{\sqrt{3}$

Step-by-step explanation:

From the given figure, we have

AB=x, AC=10 and ∠C=60°

Using trigonometry, we get

${\frac{AB}{AC}}=sinC$

Substituting the given values, we get

⇒${\frac{x}{10}}=sin60^{\circ}$

⇒${\frac{x}{10}}={\frac{\sqrt{3}}{2}}$

⇒$x=10{\times}\frac{\sqrt{3}}{2}$

⇒$x=5\sqrt{3}$

Therefore, the value of x is $5{\sqrt{3}$ units.