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A 30 feet tall building casts a 5 foot shadow. what is the suns angle of inclination

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Make a drawing of the situation:

Recalling the tangent trigonometric relationship, if the angle of inclination is A, then:


\begin{gathered} \tan (A)=\frac{30\text{ feet}}{5\text{ feet}} \\ \Rightarrow\tan (A)=6 \end{gathered}

Use the inverse tangent function to find the value of A:


A=\tan ^(-1)(6)

Use a calculator to find the numerical value of the inverse tangent of 6:


A=80.52767779\ldots

Therefore, the angle of inclination of the Sun is approximately 80.5°.

A 30 feet tall building casts a 5 foot shadow. what is the suns angle of inclination-example-1
User Shazin
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