Question

The value of x is ______.

Options

• 40 m

• 30 m

• 20 m

• \(40 \sqrt{3} \mathrm{~m}\)

Answer 1

The value of x is 20 m. 

Explanation: 

We know that,

\[\cos \theta = \frac{\text{Base}}{\text{Hypotenuse}}\]

From figure,

In \[\triangle ABC,\]

\[\Rightarrow \cos 60^\circ = \frac{BC}{AB}\]

\[\Rightarrow \frac{1}{2} = \frac{x}{40}\]

\[\Rightarrow x = \frac{40}{2} = 20\ \text{m}.\]