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A wooden board is leaning against a house. The base of the board is 10 feet from the base of the house, and the base of the board forms a 35° angle with the ground.

A wooden board is leaning against a house The base of the board is 10 feet from the base of the house and the base of the board forms a 35 angle with the ground class=

Respuesta :

calculista

Answer:

[tex]12.2\ ft[/tex]

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

[tex]cos(35\°)=\frac{AC}{AB}[/tex]

The length of the wooden board is AB

[tex]AB=AC/cos(35\°)[/tex]

we have

[tex]AC=10\ ft[/tex]

substitute

[tex]AB=10/cos(35\°)=12.2\ ft[/tex]

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