3 years ago

A(4,2) B(1,4) C(6,5)

1 answer:

5 0

One has to derive each length (please check):

EF = sqrt( 2^2 + 2^2 ) = 2*sqrt(2)
FG =3,

So, parallelogram's perimeter is 2*EF+2*FG = 4*sqrt(2)+6=11.66

Triangle:

AB = sqrt( 2^2 + 3^2) = sqrt(13)
BC= sqrt(1^2_5^2)=sqrt(26)
AC=sqrt(2^2+3^2) = sqrt(13)

Total = 12.31

Difference Triangle - Parallelogram = 12.31-11.66 = 0.65

What about the LAST one? :P

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10 points

oee [108]

Answer:

x = 240 feet

Step-by-step explanation:

It is given that,

The angle of depression is 30 degrees from the bottom of the boat to a deep sea diver at the depth of 120 ft.

We need to find the distance x the diver must swim up to the boat. It can be calculate by applying trigonometry as follows :

$\sin30=\dfrac{120}{x}\\\\x=\dfrac{120}{\sin30}\\\\x=240\ \text{feet}$