uncover to the nearest level the measure up of the edge of key of the sun as soon as a vertical write-up 15 feet high casts a shadow 20 feet long.
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You are watching: Angle of elevation of the sun to solve, describe the number below.

In the figure, `theta` is the edge of elevation of the sun. To recognize its value, use the tangent duty since the length of the sides opposite and surrounding to theta space known.

`tan theta=15/20`

`tan theta=3/4`

`theta=tan^(-1)3/4`

`theta=36.86989764^o`

Rounding...

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To solve, describe the figure below.

In the figure, `theta` is the angle of key of the sun. To identify its value, use the tangent role since the size of the sides opposite and surrounding to theta space known.

`tan theta=15/20`

`tan theta=3/4`

`theta=tan^(-1)3/4`

`theta=36.86989764^o`

Rounding turn off to the nearest degree, the becomes:

`theta=37^o`

Hence, the edge of key of the sun is 37 degrees.

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