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 18, 2021 93.9k views

1 Answer

Yuriy Polezhayev · Answer 1 · 2021-07-21T20:15:00+0000

The length of the shadow is 124.7 in

Step-by-step explanation:

Given:

Angle, θ = 30°

Height of the fence, h = 72 in

Length of the shadow, l = ?

Given:

tan 30° =
(perpendicular)/(base) = (height of the fence)/(length of the shadow)

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

Therefore, the length of the shadow is 124.7 in