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3 years ago

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What are alternate exterior

1 answer:

vichka [17]3 years ago

5 0

Alternate exterior angles are the pair of angles that lie on the outer side of the two parallel lines but on either side of the transversal line. Illustration: ... Notice how the pairs of alternating exterior angles lie on opposite sides of the transversal but outside the two parallel lines.

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A source of laser light sends rays AB and AC toward two opposite walls of a hall. The light rays strike the walls at points B an

____ [38]

Answer: 70 meters.

Step-by-step explanation:

Observe the figure attached.

The distance between the walls is:

$DE=AD+AE$

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Both triangles are right triangles. Therefore, you can calculate the distance between the walls as following:

- Calculate the distance AD:

$cos\alpha=\frac{adjacent}{hypotenuse}\\\\cos(60\°)=\frac{AD}{60}\\AD=30m$

- Calculate the distance AE:

$tan\beta =\frac{opposite}{adjacent}\\\\tan(45\°)=\frac{40}{AE}\\\\AE=\frac{40}{tan(45\°)}\\\\AE=40m$

Therefore the distance between the walls is:

$DE=30m+40m=70m$

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