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=(Base)/(Hypotenuse)`

Using this trigonometric ratio for the given triangle, we get

`\cos A=(AB)/(AC)`

`\cos (60^\circ)=(AB)/(10)`

`(1)/(2)=(AB)/(10)`

`(1)/(2)* 10=AB`

`5=AB`

Therefore, the length of AB is 5 units.