Question

A lamp points toward the base of a doorway as shown below, what is the height, in feet, of the lamp

Answer 1

Answer:
`40√(3)`

Explanation:

30-60-90 triangle- leg opposite 30 is x, leg opposite 60 is
`x√(3)` and the hyp. is 2x

we need to figure out X

we also know that the leg opposite 60 is = 120

`120=x√(3)`

square everything

`14400=3x^(2)\\4800=x^(2) \\√(4800) =x\\√(1600*3) =x\\40√(3) =x`