Question

When the angle of elevation of the sun is 30 find the length of shadow cast by a 40 m high building

Answer 1

Define x:

Let the length of the shadow be x

Solve x:

tan ø = adj/opp

tan (30) =  x/40

x = 40tan(30)

x = 40 ( √3/3)

x = (40√3)/3 or 23.09 m

Answer: The length of the shadow is 23.09 m