A Wooden board is leaning against the 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 what is the length of the wooden board

Answers

Answer 1
Answer:

Answer: 12.20 feet.

Step-by-step explanation:

Observe in the figure attached that a right triangle is formed.

Then, you  need to remember the identity:

cos\alpha=(adjacent)/(hypotenuse)

In this case you can identify that:

adjacent=10\nhypotenuse=x

\alpha=35\°

Then, to find the length of the wooden board (x), you need to substitute values and solve for x.

Therefore, you get:

cos(35\°)=(10)/(x)\n\n(x)(cos(35\°))=10\n\nx=(10)/(cos(35\°))\n\nx=12.20

The length of the wooden board is: 12.20 feet.


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Answers


Brad needs (30.1 + 37.5 + 14.8 + 10.01 + 15.2) = 107.61 cm of wood.

How many lengths does he need in order to have  107.61 cm of wood ?

(107.61 cm) / (35 cm/length) =  3.075 lengths

3 lengths is not quite enough. But it's only sold in whole lengths of 35 cm.
So in order to cover that last little smidgen, he'll need to buy 4 lengths.

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