A lamp points toward the base of a doorway as shown below, what is the height, in feet, of the lamp
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Answer: [tex]40\sqrt{3}[/tex]
Step-by-step explanation:
30-60-90 triangle- leg opposite 30 is x, leg opposite 60 is [tex]x\sqrt{3}[/tex] and the hyp. is 2x
we need to figure out X
we also know that the leg opposite 60 is = 120
[tex]120=x\sqrt{3}[/tex]
square everything
[tex]14400=3x^{2}\\4800=x^{2} \\\sqrt{4800} =x\\\sqrt{1600*3} =x\\40\sqrt{3} =x[/tex]