Question 1201203
45 degree angle of depressison forms a triangle with a vertical leg of 984 feet in length.
A is the observation deck of the skyscraper.
B is the base of the skyscraper.
C is the location of the ship in the harbor.
angle A is 45 degrees.
ancle C is 45 degrees.
angle B is 90 degrees.
tangent of angle A is equal to opposite side divided by adjacent side is equal to BC / AB
AB is equal to 984 feet and angle A is equal to 45 degrees, therefore:
tangent of 45 degrees is equal to opposite side divided by adjacent side = BC / 984.
solve for BC to get:
BC = 984 * tangent of 45 degrees = 984 feet.
your solution is that the horizontal distance from the base of the skyscraper to the ship is 984 feet.