A wooden board is leaning against a house

Mathematics

1 answer:

kobusy [5.1K]2 years ago

6 0

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

$\cos(35)=\frac{20}{x}$

$\implies0.819= \frac{20}{x}$

cross multiplying we get:

$0.819 \times x = 20$

Diving through by 0.819, we obtain

$x = 24.42$

To the nearest tenth, x=24.4 feet.

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