A 10-meter telephone pole casts a shadow directly down a slope when the angle of elevation of the sun is 42 degrees.

Find theta, the angle of elevation of the ground.

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- Jan 7th 2009, 02:18 PMmagentaritaFind Angle Theta
A 10-meter telephone pole casts a shadow directly down a slope when the angle of elevation of the sun is 42 degrees.

Find theta, the angle of elevation of the ground.

- Jan 7th 2009, 11:25 PMProve It
Remember that the sum of three angles in a triangle is $\displaystyle 180^{\circ}$.

Provided that the telephone pole is perpendicular to the ground (as all are), then $\displaystyle 90^{\circ} + 42^{\circ} + \theta ^{\circ} = 180^{\circ}$.

$\displaystyle 132^{\circ} + \theta ^{\circ} = 180^{\circ}$

$\displaystyle \theta ^{\circ} = 48^{\circ}$. - Jan 9th 2009, 08:06 AMmagentaritabut...
- Jan 9th 2009, 11:48 AMMath MajorQuote:

Remember that the sum of three angles in a triangle is http://www.mathhelpforum.com/math-he...a552d7be-1.gif.

Provided that the telephone pole is perpendicular to the ground (as all are), then http://www.mathhelpforum.com/math-he...2a964305-1.gif.

http://www.mathhelpforum.com/math-he...c26aa60e-1.gif

http://www.mathhelpforum.com/math-he...a0de8356-1.gif.

- Jan 9th 2009, 12:21 PMmasters
- Jan 12th 2009, 09:27 PMmagentaritaYes....