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1.) Find all angles θ between 0° and 180° satisfying the given equation. (Enter answers as a comma-separated list.)

 

tan(θ) = −24

 

θ =

 

2.) Find all angles θ between 0° and 180° satisfying the given equation. (Enter answers as a comma-separated list.)

 

cos(θ) = 2/7

 

θ =

 

3.) Rewrite the expression as an algebraic expression in x.

 

sin(tan−1(x))

 

4.) To estimate the height of a mountain above a level plain, the angle of elevation to the top of the mountain is measured to be 32°. One thousand feet closer to the mountain along the plain, it is found that the angle of elevation is 34°. Estimate the height of the mountain. (Round answer to the nearest foot.) 

pur-new-sol

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