Question

In the figure below, the distance from A to D is y, the distance from D to C is x, and the distance from A to B is h. Use the figure to solve for the following variables. Round to the nearest tenth.

(screen shot of question is attached below)

Answer 1

Check the picture below.

`\sin(45^o )=\cfrac{\stackrel{opposite}{BC}}{\underset{hypotenuse}{10}} \implies \implies 10\sin(45^o)=BC\implies {\Large \begin{array}{llll} 7.1\approx BC \end{array}} \\\\[-0.35em] ~\dotfill\\\\ \tan(58^o )=\cfrac{\stackrel{opposite}{BC}}{\underset{adjacent}{x}}\implies x=\cfrac{BC}{\tan(58^o )}\implies {\Large \begin{array}{llll} x\approx 4.4 \end{array}}`

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