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2 months ago

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At a hot air ballon festival, Erica spots a red ballon due east at an angle of elevation of 36 degrees. She turns due west and s

ees a blue ballon at an angle of elevation of 51 degrees. If the altitude of the blue ballon is 296 meters, the altitude of the blue ballon is 461 meters, and Erica is 1.6 meters tall, find the distance between the balloons.

1 answer:

Zina [12.3K]2 months ago

7 0

Answer:

Step-by-step explanation:

Information provided

The eastern balloon makes an elevation angle of $36^{\circ}$ and is positioned at a height of 461 m.

The western balloon creates an elevation angle of $51^{\circ}$ and is positioned at a height of 296 m.

Considering that Erica is 1.6 m tall, the effective height of the Red balloon becomes 459.4 m,

while the effective height of the Blue balloon ends up at 294.4 m.

Utilizing trigonometric principles,

$\tan 36=\frac{459.4}{d_1}$

$\tan 51=\frac{294.4}{d_2}$

$d_1=632.30 m$

$d_2=238.4 m$

Now calculating the distance separating the two Balloons,

$d=d_1+d_2$

$d=870.70 m$

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Answer:

4.0921 reflects the logarithm of the equilibrium constant.

Step-by-step explanation:

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2 months ago

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1 month ago

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