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the angle of depression of a ship from the top of vertical cliff is 28°,if the distance of the ship from the base of the cliff is 414m,find the height of the cliff​

The Angle Of Depression Of A Ship From The Top Of Vertical Cliff Is 28if The Distance Of The Ship From The Base Of The Cliff Is 414mfind The Height Of The Cliff class=

Sagot :

Answer:

220.1238 meters

Step-by-step explanation:

The height of the cliff and the distance of the ship from the base of the ship are the opposite and adjacent side of angle from ship, respectively. So, you shall use tan function; tan(θ) = opposite/adjacent

tan(28°) = x/414

x = 414tan(28°)  

x = 414 × 0.5317 = 220.1238 meters