Answer:
172.76 yards.
Step-by-step explanation:
The dog chasing some birds got away from its owner by x yards (say).
It is clear from the problem that this x yards is the slant distance from the dog to the owner.
The vertical distance from the dog to the owner is given to be 30 yards, and the angle of elevation from the owner to the dog is 10°.
Therefore, we can write that
⇒ yards. (Answer)
Answer:
The fraction of the area of ACIG represented by the shaped region is 7/18
Step-by-step explanation:
see the attached figure to better understand the problem
step 1
In the square ABED find the length side of the square
we know that
AB=BE=ED=AD
The area of s square is
where b is the length side of the square
we have
substitute
therefore
step 2
Find the area of ACIG
The area of rectangle ACIG is equal to
substitute the given values
step 3
Find the area of shaded rectangle DEHG
The area of rectangle DEHG is equal to
we have
substitute
step 4
Find the area of shaded rectangle BCFE
The area of rectangle BCFE is equal to
we have
substitute
step 5
sum the shaded areas
step 6
Divide the area of of the shaded region by the area of ACIG
Simplify
Divide by 5 both numerator and denominator
therefore
The fraction of the area of ACIG represented by the shaped region is 7/18
