A security light is being installed outside a loading dock. The light must be placed at a 65° angle so that it illuminates a parking lot. If the distance from the end of the parking lot to the loading dock is 125 feet, the height of the security light is 113.29 feet.

Question

anonymous · Answer

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anonymous · Answer

Tan(65) = y/125 

Y = tan(65) * 125 

 x/20 = cos(72) 

x = cos(72) * 20

anonymous · Answer

THX!!!!!!!

anonymous · Answer

$$\frac{ 125 }{ h }=\tan 65,h=125\cot 65=125*\cot \left( 90-25 \right)=125\tan 25$$
find h