3 years ago

Solve for the variable of "c"have to use pythagorean theorem

Mathematics

1 answer:

STatiana [176]3 years ago

3 0

see the picture below and hope that helps

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Answer:

140

I am not completely sure but what i did was

56/? = 40/100

56*100

5600/40

140

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A man 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 degr

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Answer:

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 $d$ is the distance from the ship to the cliff, and $h$ is the height of the cliff from the ship.

From trigonometry

$tan(20^o)=\frac{14}{d}$

$d=\frac{14}{tan(20^o)}=38.465\:feet.\\\\\boxed{d=38.465ft}$

This is the distance to the cliff.

And we have

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since $d=38.465ft$

$h=d*tan(40^o)=38.465*tan(40^o)=32.28ft$

Ad the height of the cliff is just $14+h$ or

$32.28+14=46.28 ft\\\\\boxed{height=46.28ft}$

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Solve for the variable of "c"have to use pythagorean theorem​

Solve for the variable of "c"have to use pythagorean theorem