from the observation deck of a skyscraper Valeria measures 67 angle of depression to a ship in the harbor below if the observation deck is 945 feet high what is the horizontal distance from the base of the skyscraper out to the ship round your answer to the nearest hundredth of a foot if necessary
We can use trigonometry to solve this problem.
Let x be the horizontal distance from the base of the skyscraper to the ship.
Since the observation deck is 945 feet high and Valeria measures a 67 degree angle of depression, we can see that the height of the skyscraper is the opposite side of a right triangle and the horizontal distance to the ship is the adjacent side.
Therefore, we can use the tangent function:
tan(67) = 945 / x
Solving for x:
x = 945 / tan(67)
x ≈ 356.81 feet
Therefore, the horizontal distance from the base of the skyscraper to the ship is approximately 356.81 feet.