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A ladder leans against the side of a house. The angle of elevation of the ladder is 71 degrees and the top of the ladder is 14 feet from the ground. Find the length of the ladder. Round your answer to the nearest tenth. Please help!

A ladder leans against the side of a house The angle of elevation of the ladder is 71 degrees and the top of the ladder is 14 feet from the ground Find the leng class=

Respuesta :

qadassa
Since you know the angle and one side you can use:

[tex]sin(angle) = Opposite/Hypotenuse \\ \\ sin(71) = \frac{14}{x} [/tex]

Solving for x will give you that
[tex]x = 14.8 inches.[/tex]

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