An observer views a rocket take off from a distance of 5 miles from the launch pad, and tracks the angle of elevation.

a) Express the height of the rocket as a function of the angle of elevation, θ\displaystyle \theta.

h(θ)\displaystyle {h}{\left(\theta\right)} =  

Type theta for θ\displaystyle \theta

b) Express the angle of elevation θ\displaystyle \theta as a function of the height, h\displaystyle {h}, of the rocket.

θ(h)\displaystyle \theta{\left({h}\right)} =  

c) When the angle of elevation is 35 degrees, find the height of the rocket

  miles

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