Question

An airplane flies at an altitude of y = 8 miles toward a point directly over an observer (see figure). The speed of the plane is 600 miles per hour. Find the rates at which the angle of elevation θ is changing when the angle is θ = 45°, θ = 60°, and θ = 80°.

(a) θ = 45° (b) θ = 60° (c) θ = 80° (Round your answer to two decimal places.)

Please circle your answers.

the answer for a) is not 75/2 b) is not -225/4 c) -72.74. these are incorrect.

Answer 1

-600 he Given that 8mi Need to thd do dt uten 45 Go 80 tano Gpp adj Eano & tane) dt () -8 dt -600) Sedo do - 2 4800 2 do

uten 045 tan45 8 tan4s 8 do 2 4&00 29 4800 64 do dt-37.5

0= 60' tan 60 tan6o dO dt 3 48C0() 80x 3 64 64 56.a 5 do

tan 30 14 1062 4800 50) -41068) do dt Ca 72. 73 80