On a safari, you are spear fishing while wading in a river. You observe a fish g

Question

On a safari, you are spear fishing while wading in a river. You observe a fish gliding by you. If your line of sight to the fish is 63° below the horizontal in air, and assuming the spear follows a straight line path through the air and water after it is released, determine the angle below the horizontal that you should aim your spear gun in order to catch dinner. Assume the spear gun barrel is 1.6 m above the water surface, the fish is 1.1 m below the surface, and the spear travels in a straight line all the way to the fish.

Explanation / Answer

= 63degrees,h= 1.6 m , d= 1.1 m

IA = 35.186 W/m^2

refractive index of air n1 =1

refractive index of water n2 =1.33

Ue pictrorial representation to express the aiming angle alpha

alpha = arctan((h+d)/(L+l))

L = h tan1 , l = dtan2

from snells law n1 sin1 = n2 sin2

from above retlaitons we get

alpha = arctan ((h+d)/htan1 +dtan(arcsin(n1sin1/n2)))

1 is complement of 63, 1 =90 -63 = 27 degrees

alpha = arctan ((1.6+1.1)/htan27 +dtan(arcsin(1*sin27s/1.33)))

alpha = 65.78 degrees

Related Questions

Navigate

• Browse (All)
• Browse O
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.