a submarine is 303 m horizontally out from the shore and 101 m beneath the surfa
ID: 1508352 • Letter: A
Question
a submarine is 303 m horizontally out from the shore and 101 m beneath the surface of the water. a laser beam is sent from the sub so that it strikes the surface of the water at a point 243 m from the shore. if the beam just strikes the top of the building standing directly at the waters edge find the height of the building.Please show all work! a submarine is 303 m horizontally out from the shore and 101 m beneath the surface of the water. a laser beam is sent from the sub so that it strikes the surface of the water at a point 243 m from the shore. if the beam just strikes the top of the building standing directly at the waters edge find the height of the building.
Please show all work! a submarine is 303 m horizontally out from the shore and 101 m beneath the surface of the water. a laser beam is sent from the sub so that it strikes the surface of the water at a point 243 m from the shore. if the beam just strikes the top of the building standing directly at the waters edge find the height of the building.
Please show all work!
Explanation / Answer
we know,
refractive index of water, n = 1.333
from the given data
angle of incidence, theta_i = tan^-1( (303-243)/101)
= 30.7 degrees
let theta_r is the angle of refraction in air
apply snell's law
sin(theta_i)/sin(theta_r) = n_air/n_water
sin(30.7)/sin(theta_r) = 1/1.333
sin(theta_r) = sin(30.7)*1.3333
theta_r = sin^-1(0.68)
= 42.9 m
let h is the height of the building
tan(theta_r) = 243/h
==> h = 243/tan(theta_r)
= 243/tan(42.9)
= 261.3 m <<<<<----------------Answer
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