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A building that is 100 ft tall casts a shadow that makes a 30 degree angle with the ground. Approximately how long, in feet, is the shadow across the ground?

Respuesta :

Shaw12340
The awnser is 130 ft.
cclark354914
100[tex] \sqrt{3} [/tex] is how long the shadow would be.

To solve, remember the ratio for a 30/60/90 triangle:
short side = x
long side = x[tex] \sqrt{3} [/tex]
hypotenuse = 2x

the short side is the building, which is 100, so the long side is 100[tex] \sqrt{3} [/tex]

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