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jameslinimk
15.01.2020 •
Mathematics
Aman on the deck of a ship is 14 ft above water level. he observes that the angle of elevation of the top of a cliff is 40 degrees and the angle of depression of the base is 20 degrees. find the distance of the cliff from the ship and the height of the cliff if the base of the cliff is at sea level.
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Ответ:
The distance of the ship from the cliff is 38.465 feet
The height of the cliff is 46.28 feet.
Step-by-step explanation:
As shown in the figure attached
is the distance from the ship to the cliff, and
is the height of the cliff from the ship.
From trigonometry
This is the distance to the cliff.
And we have
since![d=38.465ft](/tpl/images/0456/3502/d2d1c.png)
Ad the height of the cliff is just
or
Which is the height of the cliff.
Ответ: