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A 25-ft ladder and then you can get inside of a house the bottom of the ladder is 8 ft away from the bottom of the house what is the measure of the angle formed by the bottom of the ladder and the ground round to the nearest degree

Respuesta :

Answer:

[tex]71.33[/tex] degree

Step-by-step explanation:

The angle between the bottom of the ladder and the ground is given by

[tex]cos\alpha = \frac{B}{L}[/tex]

Where

B = distance between wall of house and the foot of ladder

L = Length of the ladder

Substituting the given values we get -

[tex]Cos \alpha = \frac{8}{25}\\Cos \alpha = 0.32\\\alpha = Cos^{-1}(0.32)\\\alpha = 71.33[/tex]

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