8. A dog chasing some birds in the woods got away from its owner. If the owner is 30 yards
1 answer:
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)
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The solutions are (2.1925, 5.1925) and (-3.1925, -0.1925)
<em><u>Solution:</u></em>
Given that,
<em><u>We have to substitute eqn 1 in eqn 2</u></em>
Substitute x = 2.1925 in eqn 1
y = 2.1925 + 3
y = 5.1925
Substitute x = -3.1925 in eqn 1
y = -3.1925 + 3
y = -0.1925
Thus the solutions are (2.1925, 5.1925) and (-3.1925, -0.1925)