subject
Mathematics, 22.06.2019 21:10 luzcastellanos556

Asource of laser light sends rays ab and ac toward two opposite walls of a hall. the light rays strike the walls at points b and 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? 80 m 140 m 70 m 110 m


Asource of laser light sends rays ab and ac toward two opposite walls of a hall. the light rays stri

Answers

ansver
Answer from: elliswilliams1063

70 m

Step-by-step explanation:

AB makes a 30-60-90 triangle with the wall.

AC makes a 45-45-90 triangle with the wall.

In a 30-60-90 triangle, the short leg (opposite of the 30° angle) is half the hypotenuse.

In a 45-45-90 triangle, the legs are the same length.

So the distance between the left wall and the laser is 60/2 = 30 m.

The distance between the right wall and the laser is 40 m.

The total distance is therefore 70 m.

ansver
Answer from: nenaa29

70  meters.

Step-by-step explanation:

Observe the figure attached.

The distance between the walls is:

DE=AD+AE

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


Asource of laser light sends rays ab and ac toward two opposite walls of a hall. the light rays stri
ansver
Answer from: vince022503

70m

Step-by-step explanation:

For wall from the left, we have a right triangle and hypotenuse is 60 and the adjacent leg is what we want to find. The angle is 60°

cos60 = x/60

1/2 = x /60

2x = 60

x = 30

For wall from the right, we have a right triangle and opposite leg is 40 and the adjacent leg is what we want to find. The angle is 45°

tan45 = 40/x

1 = 40/x

x = 40

As the distance between the walls is the sum of the bases of the triangles, 40 + 30 = 70 m

ansver
Answer from: ariellewallenst3393

DA + AE = 34.64 + 68.28 = 103.92

Step-by-step explanation:

ansver
Answer from: nique1024

Step-by-step explanation:

I got it right its 180

ansver
Answer from: jeovontamarley

103.92 m

Step-by-step explanation:

Refer the attached figure.

A source of laser light sends rays AB and AC toward two opposite walls of a hall.

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 which is 60 meters above the ground i.e. BD = 60 m

AC is a ray of light which strikes the wall on the right at point C which is 40 m above the ground i.e. CE = 40 m

The ray AB makes an angle of 60 degrees with the ground i.e. ∠BAD = 60°

The ray AC makes an angle of 30 degrees with the ground.i.e. ∠CAE=30°

We are required to find the distance between the two walls i.e. DA=DA+AE

In ΔABD

Perpendicular = BD = 60 m

Base = AD

∠BAD = 60°

To find AD we will use trigonometric ratio

tan\theta = \frac{Perpendicular}{Base}

tan60^{\circ}= \frac{BD}{AD}

\sqrt{3}= \frac{60}{AD}

AD= \frac{60}{\sqrt{3}}

In ΔCAE

Perpendicular = CE = 40 m

Base = AE

∠CAE=30°

To find AE we will use trigonometric ratio

tan\theta = \frac{Perpendicular}{Base}

tan30^{\circ}= \frac{CE}{AE}

\frac{1}{sqrt{3}}= \frac{40}{AE}

AE= 40\sqrt{3}

Thus the distance between walls = DA=DA+AE

                                                         =\frac{60}{\sqrt{3}}+40\sqrt{3}

                                                         =103.923

Thus the distance between the two walls is 103.92 m

Hence Option C is correct.


Asource of laser light sends rays ab and ac toward two opposite walls of a hall. the light rays stri
ansver
Answer from: Isactuallycarter99

70 m

Step-by-step explanation:

i took the test :)

ansver
Answer from: sophiav9627

70

Step-by-step explanation:

ansver
Answer from: nstacie40

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 and 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?

80 m

140 m

70 m

110 m

ansver
Answer from: cbrewer37

Hence, the distance between two walls is:

100 m.

Step-by-step explanation:

We are asked to find the distance between the two balls.

This could be done if we first find the distance between the first wall and the laser bean=d

and then the second wall and the laser bean=d'

and then add both the distances to find the total distance between the two walls i.e. (d+d')

As the triangle is right triangle so we will use the trignometric identity to find the distance.

The distance between the first wall and laser beam is:

\cos 60=\dfrac{d}{40}\\\\\dfrac{1}{2}=\dfrac{d}{40}\\\\d=\dfrac{40}{2}=20m

similarly The distance between the second wall and laser beam is:

\tan45=\dfrac{80}{d'}\\\\1=\dfrac{80}{d'}\\\\d'=80m

Hence, the distance between the two walls is:

d+d'=20+80=100

Hence, the distance between two walls is:

100 m.


Asource of laser light sends rays ab and ac toward two opposite walls of a hall. the light rays stri

Other questions on the subject: Mathematics

image
Mathematics, 21.06.2019 17:30, SethSimunek
Choose the number sentence that shows the identity property of addition. a. 122 = 61 + 61 b. 62 = 1 + 61 c. 61 = 0 + 61
Answers: 1
image
Mathematics, 21.06.2019 20:20, Lindy5657
Which of the following best describes the delian problem?
Answers: 3
image
Mathematics, 21.06.2019 23:20, ale1910
Using only the digits 5, 6, 7, 8, how many different three digit numbers can be formed if no digit is repeated in a number?
Answers: 1
image
Mathematics, 22.06.2019 00:00, omar2334
Me with this assignment ! i only partially understand, so explain. also it's a work sample. at the championship bike race, steve and paula were fighting for first place. steve was 175 feet ahead of paula and had only 300 feet left to go. he was very tired and was going only 9 feet per second. paula was desperate to catch up and was going 15 feet per second. who won the bike race and by how far did she/he win?
Answers: 1
You know the right answer?
Asource of laser light sends rays ab and ac toward two opposite walls of a hall. the light rays stri...

Questions in other subjects:

Konu
Mathematics, 25.10.2019 04:43
Konu
Mathematics, 25.10.2019 04:43
Questions on the website: 13570256