SOLUTION: A man on the deck of a ship is 15 ft above sea level. He observes that the angle of elevation of the top of the cliff is 70� and the angle of deppression of its base at sea level i

Question 1090046: A man on the deck of a ship is 15 ft above sea level. He observes that the angle of elevation of the top of the cliff is 70� and the angle of deppression of its base at sea level is 50� . Find the height of the cliff and its distance from the ship
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
Bottom right triangle, angles 90, 50, 40 degree; the 40 degree angle at bottom of the cliff.

Distance from cliff to ship deck, .

Upper right triangle, angles 90, 70, 20; the 20 degree angle at the top of the cliff.
Leg along the cliff, y,
-----simplify and solve for y and compute.

Cliff total height, y+15.
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