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A wooden board is leaning against a house
The base of the board is 20 feet from the base
of the house, and the base of the board forms
a 35° angle with the ground
What is the length of the wooden board?
Enter your answer, rounded to the nearest
tenth, in the box

Respuesta :

kudzordzifrancis

Answer:

24.4 feet

Explanation:

Let x be the length of the wooden board as shown in the diagram.

Using trigonometry ratio, we can write

[tex] \cos(35)=\frac{20}{x}[/tex]

[tex] \implies0.819= \frac{20}{x} [/tex]

cross multiplying we get:

[tex]0.819 \times x = 20[/tex]

Diving through by 0.819, we obtain

[tex]x = 24.42[/tex]

To the nearest tenth, x=24.4 feet.

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