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Answer:
1035.33 feet
Step-by-step explanation:
OBH is a triangle and the sum of the angles of a triangle = 180
∠OBH = 90°
∠OHB = 180 -(49 + 90) = 41°
The law of sines that the ratio of each side of a triangle to the sin of the angle opposite it is the same
Thus
A/sinα = B/sinβ = C/sinγ
where A, B and C are the three sides of the triangle and α, β, γ corresponding respectively to the angles opposite them.
Using the law of sines
Therefore BH which is the height the helicopter is flying at is
≈ 1035.33 feet
Let us write vertices of the given rectangle are PQRS.
Where Q is (c,d) and S is (a,b).
a) Now, we need to find the coordinates of P and R points.
x-coordinate for P is a and y-coordinate of P is d.
<h3>Therefore P is (a,d).</h3>On the same way, x-coordinate for R is c and y-coordinate of R is b.
<h3>Therefore R is (d,b).</h3>b) <em>Width of the rectangle is difference of y-coordinates of P and S points</em>.
<h3>Therefore, width = b - d.</h3>