Question

Find the length of AB?

Answer 1

Given:

The figure of a right triangle.

To find:

The length of AB.

Solution:

In a right angle triangle,

$\cos \theta=\dfrac{Base}{Hypotenuse}$

Using this trigonometric ratio for the given triangle, we get

$\cos A=\dfrac{AB}{AC}$

$\cos (60^\circ)=\dfrac{AB}{10}$

$\dfrac{1}{2}=\dfrac{AB}{10}$

$\dfrac{1}{2}\times 10=AB$

$5=AB$

Therefore, the length of AB is 5 units.