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lys-0071 [83]
2 years ago
13

an airplane is flying at the height of 10 km above the ground the distance along the ground from the airplane to the airport is

10√3 km . what is the angle of depression from the airplane to the ground​
Mathematics
1 answer:
erik [133]2 years ago
6 0

The angle of depression from the aeroplane to the ground​ will be 30 degrees.

<h3>What is trigonometry?</h3>

Trigonometry is the branch of mathematics which set up a relationship between the sides and angle of the right-angle triangles.

Given that:-

  • An aeroplane is flying at the height of 10 km above the ground the distance along the ground from the aeroplane to the airport is 10√3 km

The angle of depression will be calculated as the angle between the horizontal and the height of the plane as shown in the figure below.

As we know that the perpendicular theta is height and the base ratio is angle tan theta.

tanФ = Height / Base

tanФ  = 10 / 10 √3

tanФ = 1 / √3

Ф = tan⁻¹( 1 / √3 ) = 30°

Therefore the angle of depression from the aeroplane to the ground​ will be 30 degrees.

To know more about Trigonometry follow

brainly.com/question/24349828

#SPJ1

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The coordinates of the endpoints of AB are A(-4, 3 ) and B ( 1, -3 ). Which measurment is closet to the length AB in units.
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Answer:

The measurement is closet to the length AB will be \sqrt{61}=7.81 units

Step-by-step explanation:

As the coordinates of the endpoints of AB are

  • A(-4, 3 )
  • B( 1, -3 )

As we know that the distance between two points is basically termed as the length of the line segment AB connecting them

As

\mathrm{Compute\:the\:distance\:between\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}

So,

\mathrm{The\:distance\:between\:}\left(-4,\:3\right)\mathrm{\:and\:}\left(1,\:-3\right)\mathrm{\:is\:}

=\sqrt{\left(1-\left(-4\right)\right)^2+\left(-3-3\right)^2}

\mathrm{Apply\:rule}\:-\left(-a\right)=a

=\sqrt{\left(1+4\right)^2+\left(-3-3\right)^2}

=\sqrt{5^2+6^2}

=\sqrt{25+36}

=\sqrt{61}

=7.81 units

So, the length AB or the distance between two points A(-4, 3 ) and

B ( 1, -3 ) will be \sqrt{61}=7.81 units

Therefore, the measurement is closet to the length AB will be \sqrt{61}=7.81 units

Keywords: distance between two points, distance formula

Learn more about distance between two points from brainly.com/question/9231324

#learnwithBrainly

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Answer:

132

Step-by-step explanation:

corresponding angles are the same

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