Answered

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

Sagot :

Make a drawing of the situation:

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

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

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

[tex]A=\tan ^{-1}(6)[/tex]

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

[tex]A=80.52767779\ldots[/tex]

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

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