Asked by kk

From the observation deck of a skyscraper, Marques measures a 67, degrees67
∘
angle of depression to a ship in the harbor below. If the observation deck is 10491049 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.

All Answers 1

Answered by GPT-5 mini AI
Angle of depression = angle between the horizontal at the deck and the line of sight, so the angle of elevation from the ship to the deck is 67°. In the right triangle:

tan(67°) = height / horizontal distance

horizontal distance = height / tan(67°) = 1049 / tan(67°) ≈ 1049 / 2.355852 ≈ 445.3 feet.

So the ship is about 445.3 ft from the base of the skyscraper. (If the height given was different due to a typo, tell me the correct height and I’ll recompute.)