Abird is flying at a height of 2 meters above the sea level. the angle of depression from the bird to the fish it sees on the surface of the ocean is 15∘. find the distance the bird must fly to be directly above the fish. round to the nearest ten

7.5 m

Step-by-step explanation:

The angle of depression from the bird to the fish is 15°

The height of the bird is 2m

The distance the bird must fly be directly above the fish is ?

Model your sketch as a right triangle with height 2m and angle 15°.The distance to find is the leg distance the bird has to cover to be directly above the fish

Apply the formula for tan of Ф

Tan Ф=opposite÷adjacent

Tan Ф=O/A

Tan 15°=2/A

0.26794919243=2/A

A=2÷0.26794919243

A=7.46

A=7.5 m

there are lots of ways.   pick's theorem tells us if the vertices are lattice points the area a is

a = b/2 + i - 1

where b is the number of boundary lattice points and i is the number of interior lattice points.

in the figure i count b=16, i=50 so

a = 8 + 50 - 1 = 57

let's try the shoelace formula.   the area is half the sum of the cross products of the sides.  

a(-2,6)   -2(2)-6(-5) = 26

b(-5,2)   -5(-3) - 2(-2) = 19

c(-2,-3) -2(-3) - (-3)(4) = 18

d(4,-3)   4(3) - (-3)(5) = 27

e(5,3)   5(3) - 3(1) = 12

f(1,3)     1(6) - 3(-2) = 12

a(-2,6)

each of the cross products is twice the area of the triangle with the associated side and one vertex the origin. so the area of abo=26/2=13.

area = (1/2) (26 + 19 +   18 + 27 + 12 + 12) = 57

that checks!

the answer is thin because within context, the stanza concludes the and frail tone the people have toward each other, and the fact that it would be thin, makes the most sense compared to "pliable" or "not hard or firm to the touch". hope this , good luck.

step-by-step explanation:

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