Question

A ladder '$x$' meters long is laid against a wall making an angle '$\theta$' with the ground. If we want to directly find the distance between the foot of the ladder and the foot of the wall, which trignometrical ratio should be considered?

• A. $\sin \theta$
• B. $\cos \theta$
• C. $\tan \theta$
• D. $\cot \theta$

Answer 1

Answer: (B)

$\cos \theta$

Distance to be found is adjacent side to the given angle which means base. The length of base in a right angled triangle, when the length of hypotenuse $\left(x\right)$ can be found using the $\cos$ function.

So, trigonometric ratio to be used is $\cos \theta$.

As, $\cos \theta =\frac{Base}{Hypotenuse}$