Respuesta :

The value of the perpendicular side d = 8.66 inches.

What is the Pythagorean theorem?

Pythagorean theorem states that in the right angle triangle the hypotenuse square is equal to the square of the sum of the other two sides.

Given that:-

Base   =   5 in

Angle  =  60

By using trigonometry property:-

[tex]tan\theta =\dfrac{d}{B}\\\\[/tex]

d = B  x  tan60

d = 5  x  tan60

d = 8.66 in

Hence the value of the perpendicular side d = 8.66 inches.

To know more about the Pythagorean theorem follow

https://brainly.com/question/343682

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