A woman stands on flat ground at the base of a 90 -ft 90\text{-ft} observation tower. A hawk takes off from the top of the tower, descending at an angle of 45 ∘ 45^{\circ} below the horizontal. Write an expression for the angle of elevation θ θ from the woman to the hawk in terms of its current height h h above the ground. (Hint: The hawk has descended a vertical distance of 90 − h 90 - h from the top of the tower.)

θ = tan ⁡ − 1 ( h 90 − h ) \theta=\tan^{-1}\left(\frac{h}{90-h}\right)

θ = sin ⁡ − 1 ( 90 − h h ) \theta=\sin^{-1}\left(\frac{90-h}{h}\right)

θ = sin ⁡ − 1 ( h 90 − h ) \theta=\sin^{-1}\left(\frac{h}{90-h}\right)

θ = tan ⁡ − 1 ( 90 − h h ) \theta=\tan^{-1}\left(\frac{90-h}{h}\right)

A woman stands on flat ground at the base of a 90-...

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