allison0210 allison0210
  • 18-04-2021
  • Mathematics
contestada

Find the length of AB?

Find the length of AB class=

Respuesta :

erinna erinna
  • 23-04-2021

Given:

The figure of a right triangle.

To find:

The length of AB.

Solution:

In a right angle triangle,

[tex]\cos \theta=\dfrac{Base}{Hypotenuse}[/tex]

Using this trigonometric ratio for the given triangle, we get

[tex]\cos A=\dfrac{AB}{AC}[/tex]

[tex]\cos (60^\circ)=\dfrac{AB}{10}[/tex]

[tex]\dfrac{1}{2}=\dfrac{AB}{10}[/tex]

[tex]\dfrac{1}{2}\times 10=AB[/tex]

[tex]5=AB[/tex]

Therefore, the length of AB is 5 units.

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