Math, 18.10.2019 11:00, mohit81281

Two poles of equal heights are standing opposite each other on either side of the road, is 80 m wide. from a point between them on the road, the angles of elevation ofthe top of the poles are 60° and 30°, respectively. find the height of the poles and the distances of the point from the poles.

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The correct answer was given: sahini99

$\huge {\bold {HOLA....!!}}$

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Let AC and BD be the two poles of same height 'h' m.

Given AB = 80 m

Let AP = x m, therefore, PB = (80 - x) m

In ▶️APC,

$tan {30}^{°} = \frac{AC}{AP} \\ \\ \frac{1}{ \sqrt{3 } } =\frac{h}{x} \: \: \: ..... (1)$

In▶️ BPD,

$tan {60}^{°} =\frac{BD}{AB}\\ \\ \sqrt{3 }=\frac{h}{80-x} \: \: \: ..... (2)$

$Dividing \:(1) \:by\: (2),$

$=\frac{\frac{1 } {\sqrt{3 }} } {\sqrt{3 }} =\frac{\frac{h} {x} } {\frac{h} {80-x}} \\ \\ = \frac {1}{3} =\frac {80-x}{x} \\ \\ =x = 240 - 3x\\ \\ =4x = 240 \\ \\ =x =\frac {240}{4} \\ \\ =x=60\\ \\ from \: (1), \\ \\ \frac{1 }{\sqrt{3 }} =\frac{h}{x}\\ \\ =h = \frac {60} {\sqrt{3 }} \\ \\ =20\sqrt{3 }m$

Thus, the height of both the poles is $20\sqrt{3 }$ m and the distances of the point from the poles are 60 m and 20 m.

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$\huge {\bold{Hope\:It \:Helps }}$

Two poles of equal heights are standing opposite each other on either side of the road, is 80 m wide

The correct answer was given: Firdaus17f

Refer to the attachment for ur answer dear..

The correct answer was given: tegery

Step-by-step explanation:

Two poles of equal height are standing opposite each other on either side of the road is 80 m wide

The correct answer was given: meandart

$\huge{\pink{\tt{\underline{Explanation:-}}}}$

______________________________Let AB and CD be the poles of equal height.O is the point between them from where the height of elevation taken. BD is the distance between the poles.

As per above figure, AB = CD,

OB + OD = 80 m

Now,

$\large\leadsto$ In right ΔCDO,

$\large\leadsto$ tan 30° = CD/OD

$\large\leadsto$ 1/√3 = CD/OD

$\large\leadsto$ CD = OD/√3 …..... (1)

Then,

In right ΔABO,

$\large\leadsto$ tan60° = AB/OB

$\large\leadsto$ √3 = AB/(80-OD)

$\large\leadsto$ AB = √3

$\large\leadsto$ AB = CD (Given)

$\large\leadsto$ √3(80-OD) = OD/√3 (Using equation (1))

$\large\leadsto$ 3(80-OD) = OD

$\large\leadsto$ 240 – 3 OD = OD

$\large\leadsto$ 4 OD = 240

$</u<u\</u<ularge</u<u\leadsto$ $\large{\pink{\tt{OD=60}}}$

Putting the value of OD in equation (1)

$\leadsto$ CD = OD/√3

$\leadsto$ CD = 60/√3

$\large\leadsto$ CD=20√3 m

Also,

$\huge\leadsto$ OB + OD = $\star\boxed{\boxed{\blue{80 m}}}$

$\huge\leadsto$ OB = (80-60) m = $\star\boxed{\boxed{\blue{20m}}}$

$\huge\pink\star$ Thus, the height of the poles are 20√3 m and distance from the point of elevation are 20 m and 60 m respectively.

Two poles of equal heights are standing opposite each other on either side of the road, is 80 m wid

The correct answer was given: mohit81281

$\textbf{answer is in Attachment !}$

10two poles of equal heights are standing opposite each other on either side of the road, is 80 m wi

The correct answer was given: dnyandeepnile1999

$\textbf{answer is in Attachment !}$

Two poles of equal heights are standing opposite each other on either side of the roads, is 80 m wi

The correct answer was given: kalpana8955

$\textbf{answer is in Attachment !}$

The correct answer was given: abhishek7500

ab=Ed

ab=√3x=√3 x20

=20√3

Height of tower = 20√3m

" =20√3m

it is after the attachment first the attachment then this

hope you would understand it

Mark me as brainliest

The correct answer was given: priyansh86

h = height of the poles

BE = x

EC = y

BC = 80m

In triangle ABE,

tan 60 = AB/BE

√3 = h/x

h = √3x--------(1)

In triangle DCE,

tan 30 = DC/EC

1/√3 = h/y

y/√3 = h--------(2)

x+y = 80

»y = 80-x--------(3)

Then eq(2) becomes

h = (80-x)/√3

(80-x)/√3 = √3x [from eq(1 and 2)]

80-x = 3x

80 = 3x+x

80 = 4x

x = 80/4 = 20m

substituting x = 20 in eq(3)

y = 80-x

= 80-20 = 60m

On substituting the value of x in eq(1) we get h = 20√3

= 34.64 approx.

The correct answer was given: dnyandeepnile1999

Hope it will help you. . . . . . . . . .

The correct answer was given: Brain

4×27×3125
=337500
=2×168750
=2×2×84375
=2×2×3×28125
=2×2×3×3×9375
=2×2×3×3×3×3125
=2×2×3×3×3×5×625
=2×2×3×3×3×5×5×125
=2×2×3×3×3×5×5×5×25
=2×2×3×3×3×5×5×5×5×5

8×9×25×7
=12600
=2×6300
=2×2×3150
=2×2×2×1575
=2×2×2×3×525
=2×2×2×3×3×175
=2×2×2×3×3×5×35
=2×2×2×3×3×5×5×7

therefore the hcf is
2×2×3×3×5×5=900

The correct answer was given: Brain

10+2=12

mark me as brainlist