Joe, in a hot air balloon, observes that the angle of depression to a building on the ground is 69.5°. After ascending 600 ft, he now observes an angle of depression of 73.1° How far is he from the building?

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Lanuel

Based on the calculations, Joe is 3,335.24 feet from this building.

How to calculate Joe's distance?

In order to calculate Joe's distance from this building, we would determine the angle of inclination formed after he ascended a height of 600 feet as follows:

Angle = 73.1 - 69.5

Angle = 3.6°.

Now, we can calculate Joe's distance by applying the law of sine:

[tex]\frac{sinA}{a} =\frac{sinB}{b} =\frac{sinC}{c}[/tex]

Substituting the parameters into the formula above, we have;

sin3.6/600 = sin(69.5 + 90)/d

sin3.6/600 = sin159.5/d

0.000105d = 0.3502

d = 0.3502/0.000105

Distance, d = 3,335.24 feet.

Read more on law of sines here: https://brainly.com/question/7922954

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