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3 years ago

A wooden board is leaning against a house

Mathematics

1 answer:

kobusy [5.1K]3 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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3 years ago

Please help me<br> Show your work

GrogVix [38]

<u>ANSWER TO PART A</u>

The given triangle has vertices $J(-4,1), K(-4,-2),L(-3,-1)$

The mapping for rotation through $90\degree$ counterclockwise has the mapping

$(x,y)\rightarrow (-y,x)$

Therefore

$J(-4,1)\rightarrow J'(-1,-4)$

$K(-4,-2)\rightarrow K'(2,-4)$

$L(-3,-1)\rightarrow L'(1,-3)$

We plot all this point and connect them with straight lines.

ANSWER TO PART B

For a reflection across the y-axis we negate the x coordinates.

The mapping is

$(x,y)\rightarrow (-x,y)$

Therefore

$J(-4,1)\rightarrow J''(4,1)$

$K(-4,-2)\rightarrow K''(4,-2)$

$L(-3,-1)\rightarrow L''(3,-1)$

We plot all this point and connect them with straight lines.

See graph in attachment

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3 years ago