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Sever21 [200]
3 years ago
5

Pls help asap thanks and show how you solved it you will get extra credit from me

Mathematics
1 answer:
irinina [24]3 years ago
4 0
What grade are you in today school work is getting to hard
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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
Nataly [62]

Answer:

The distance between the walls is 70 m.

Step-by-step explanation:

Given: A source of laser light is at point A on the ground between two parallel walls BE and CD . The walls are perpendicular to the ground that is

BE ⊥ ED and CD ⊥ ED

AB is a ray of light which strikes the wall on the left at point B which is 30 meters above the ground. that is BE = 30 m

AC is a ray of light which strikes the wall on the right at point C. The length of AC = 80 meters.

The ray AB makes an angle of 45 degrees with the ground that is m∠BAE = 45°

The ray AC makes an angle of 60 degrees with the ground that is m∠CAD = 60°

As shown is figure attached below.

WE have to find the distance between the walls that is Length of ED

Length of ED = EA + AD

Consider the Δ AEB,

Using trigonometric ratio,

\tan\theta=\frac{perpendicular}{base}

Here \theta=45^{\circ} , perpendicular = 30 m  and base we can find.

thus,

\tan 45^{\circ}=\frac{30}{EA}

We know \tan 45^{\circ}=1

thus, EA =  30 m

Consider the Δ AEB,

Using trigonometric ratio,

\cos\theta=\frac{base}{hypotenuse}

Here \theta=60^{\circ} , hypotenuse = 80 m  and base we can find.

thus, \cos 60^{\circ}=\frac{base}{80}

We know, \cos 60^{\circ}=\frac{1}{2}

thus, Base = 40 m

AD = 40 m

Thus, the distance between the walls that is the length of ED = 30 + 40 = 70 m

4 0
3 years ago
Samuel earned $18.90 working last weekend. He worked for 2 hours. Which equation and
MariettaO [177]

Answer:

A)18.90 = 2.25e

Samuel earns $8.40 per hour.

7 0
3 years ago
Ray UW is the angle bisector of Angle VUT. If the measure of Angle VUW = (4x + 6)° and the measure of Angle WUT = (6x – 10)°, wh
Lunna [17]

Hello! :)

Answer:

\huge\boxed{38^{\circ}}

--------------------------------------------------------------------------

An angle bisector divides an angle in half, therefore:

m∠VUW ≅ m∠WUT

Set the expressions equal to each other:

4x + 6 = 6x - 10

Subtract 4x from both sides:

6 = 2x - 10

Add 10 to both sides:

16 = 2x

Divide 2 from both sides:

x = 8.

Substitute in the value of "x" into the equation for ∠WUT:

6(8) - 10 = 48 - 10 = 38°.

3 0
3 years ago
X^2=3x+3 in standard form​
weeeeeb [17]

Answer:

x^2-3x-3=0

Step-by-step explanation:

x^2=3x+3

x^2-3x-3=0

5 0
3 years ago
In a 33' by 69.7' room, what is the diagonal length from corner to corner along the floor?
KonstantinChe [14]

Answer:

77.12 feets

Step-by-step explanation:

In a 33' by 69.7' room, what is the diagonal length from corner to corner along the floor?

Step one:

given data

Length of the room= 33 feets

width of the room = 69.7 feets

Required

The diagonal of the room

Step two:

from Pythagoras theorem

z^2= x^2+y^2

substitute

z^2= 33^2+ 69.7^2

z^2=1089+4858.09

z^2=5947.09

z=√5947.09

z=77.12 feets

8 0
3 years ago
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