The horizontal distance from the base of the skyscraper out to the ship would be 401.1 feet.
What are the trigonometric ratios?
Trigonometric ratios for a right-angled triangle are from the perspective of a particular non-right angle.
In a right-angled triangle, two such angles are there which are not right angled(not of 90 degrees).
The slanted side is called the hypotenuse.
Let d the horizontal distance from the base of the skyscraper out to the ship. Since the angle of depression is 67°, hence:
Angle = 90 - 67 = 23°
Using trigonometric ratio:
tan(23) = d/ 945
d = 401.1 feet
The horizontal distance from the base of the skyscraper out to the ship would be 401.1 feet.
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