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From the observation deck of a skyscraper, Deion measures a 48° angle of
depression to a ship in the harbor below. If the observation deck is 946 feet
high, what is the horizontal distance from the base of the skyscraper out to
the ship? Round your answer to the nearest tenth of a foot if necessary.

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akposevictor

Applying the tan ratio, TOA, the horizontal distance from the base of the skyscraper to the ship is: 851.9 ft.

What is the tan ratio?

The tan ratio is a Trigonometry ratio that shows the relationship between the opposite and adjacent side, and the reference angle in a right triangle.

It is given as TOA, which is: tan ∅ = opp/adj.

Thus, we would have the following:

Reference angle (∅) = 48°

Horizontal distance from base of the skyscraper to the ship = adjacent side = x

opposite side = 946 ft

Substitute

tan 48 = 946/x

x = 946/tan 48

x = 851.9 ft.

Therefore, applying the tan ratio, TOA, the horizontal distance from the base of the skyscraper to the ship is: 851.9 ft.

Learn more about tan ratio on:

https://brainly.com/question/6459892

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