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tatiyna
3 years ago
7

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

d C, as shown below:
A source of laser light is at point A on the ground between two parallel walls. The walls are perpendicular to the ground. AB is a ray of light which strikes the wall on the left at point B. The length of AB is 60m.AC is a ray of light which strikes the wall on the right at point C which is 40m above the ground. The ray AB makes an angle of 60 degrees with the ground. The ray AC makes an angle of 45 degrees with the ground.

What is the distance between the walls?

Mathematics
2 answers:
____ [38]3 years ago
6 0

Answer: 70  meters.

Step-by-step explanation:

Observe the figure attached.

The distance between the walls is:

DE=AD+AE

<em />

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

maks197457 [2]3 years ago
5 0

Answer:

70 m

Step-by-step explanation:

i took the test :)

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DedPeter [7]

Simplify (x3 +  3x2 + 5x – 4) –  (3x3 – 8x2 – 5x + 6)

The first thing I have to do is take that "minus" sign through the parentheses containing the second polynomial. Some students find it helpful to put a "1" in front of the parentheses, to help them keep track of the minus sign.

Here's what the subtraction looks like, when working horizontally:

(x3 + 3x2 + 5x – 4) – (3x3 – 8x2 – 5x + 6)

(x3 + 3x2 + 5x – 4) – 1(3x3 – 8x2 – 5x + 6)

(x3 + 3x2 + 5x – 4) – 1(3x3) – 1 (–8x2) – 1(–5x) – 1(6)

x3 + 3x2 + 5x – 4 – 3x3 + 8x2 + 5x – 6

x3 – 3x3 + 3x2 + 8x2 + 5x + 5x – 4 – 6

–2x3 + 11x2 + 10x –10

And here's what the subtraction looks like, when going vertically:

x

3

−(3x

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​

 

+3x

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−8x

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+5x

−5x

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−4

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​

In the horizontal addition (above), you may have noticed that running the negative through the parentheses changed the sign on each and every term inside those parentheses. The shortcut when working vertically is to not bother writing in the subtaction sign or the parentheses; instead, write the second polynomial in the second row, and then just flip all the signs in that row, "plus" to "minus" and "minus" to "plus".

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–2x3 + 11x2 + 10x – 10

4 0
3 years ago
Hi :)
astraxan [27]

LETS GOOOOOOOOOOOOOOO

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What is the image of the point (6, -4) when rotated 180 degrees anticlockwise about the origin?
icang [17]

Answer:

What is the image of the point (6, -4) when rotated 180 degrees anticlockwise about the origin?

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(-6, 4)

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the answer is (-6, 4).

8 0
3 years ago
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Toby buys packs of 12 racing cars for R49,99 and sells each racing car for R10 at school
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Answer:

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=R70.01

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4 0
3 years ago
Please help!! ill give BRAINLIEST!!!
Ugo [173]
1. 90°
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