Mathematics, 01.08.2019 03:30 triplej8100

Jay and libby are working outside when they see a blimp flying over the neighborhood. jay is mowing the lawn approximately 2,500 feet (ft) from libby when they both see the blimp. libby looks up from her gardening at an angle of while jay looks up at an angle of 35°. which distance, in feet, is closest to the vertical height of the blimp above the ground? a. 1,751 feet b. 2,331 feet c. 7,027 feet d. 7,535 feet

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Answer from: Hcalhoun21

The vertical height of the blimp above the ground, which is seen by Jay and Libby while working outside, is 7027 ft.

What is right angle triangle property?

In a right angle triangle, the ratio of the opposite side to the adjacent side is equal the tangent angle between the adjacent side and hypotenuse side.

$\tan\theta=\dfrac{b}{a}$

Here, (a) is the adjacent side, (b) is the opposite side.

Let the height of the blimp from the ground is y ft and the length of the ground to the Libby's position is x ft shown in the attached image below.

As the angle made by the Libby at the height of the blimp is 43 degrees. Therefore,

$\tan43=\dfrac{y}{x}\\x=1.0724y$ ......1

Here, Jay is mowing the lawn approximately 2,500 feet (ft) from Libby when they both see the blimp.

Libby looks up from her gardening at an angle of while Jay looks up at an angle of 35 degrees. Therefore,

$\tan35=\dfrac{y}{x+2500}$

Put the value of x in the above equation from equation one as,

$\tan35=\dfrac{y}{1.0724y+2500}\\0.7002(1.0724y+2500))=y \\y\approx7027 \rm \; ft$

Hence, the vertical height of the blimp above the ground, which is seen by Jay and Libby while working outside, is 7027 ft.

Learn more about the right angle triangle property here;

link

Jay and libby are working outside when they see a blimp flying over the neighborhood. jay is mowing

Answer from: eshaesmot12345

I found your complete question in other sources.
To solve this problem we make the following system of equations:
tan (35) = ((y) / (x + 2500))
tan (43) = ((y) / (x))
Resolving we have:
y = 7026.828214
See attached images for the solution of the system of equations.
The vertical height of the blimp above the ground is:
C. 7,027 feet
Jay and libby are working outside when they see a blimp flying over the neighborhood. jay is mowing

Answer from: Quest

a. 74 degrees

step-by-step explanation:

because the lines through the side and the box in the corners shows that these are congruent triangles and since they are mirrored the 37 degrees is also mirrored so the answer is 37 * 2 which is 74.

In the figure below abd measures 37 degrees what is the measure of abc?

Answer from: Quest

Im sorry but what on

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