The sun shines at a 30° angle to the ground. To the nearest inch, how long is the shadow cast by a 72-in, tall fence post?

Question

asked Jul 11, 2021 37.6k views

1 Answer

N K · Answer 1 · 2021-07-18T02:58:51+0000

The length of the shadow is 124.7 in

Step-by-step explanation:

Angle of sun to the ground, θ = 30°

Height of the fence, h = 72 in

Length of the shadow, l = ?

We know,

tan θ = (Perpendicular)/(Base)

So,

tan 30° =
(72)/(l)

$(1)/(√(3) ) = (72)/(l) \\\\l = 72√(3) \\\\l = 124.7$

Therefore, the length of the shadow is 124.7 in