Question

In one area, the lowest angle of elevation of the sun in winter is 28°. Find the minimum distance x that a plant needing full sun can be placed from a fence that is 6 feet high. Round your answer to the tenths place

Answer 1

Answer:

$l_d=11.28ft$

Step-by-step explanation:

From the question we are told that:

Angle $\theta=28 \textdegree$

Height of Fence  $h=6 feet$

Generally the equation for Length of shadow cast by the fence  is mathematically given by

Since

Shadow cast forms a right angle triangle

 $l_d=\frac{h}{tan \theta}$

 $l_d=\frac{6}{tan 28}$

 $l_d=\frac{6}{tan 28}$

 $l_d=11.28ft$

Therefore the minimum distance x that a plant needing full sun can be placed from a fence that is 6 feet high is

 $l_d=11.28ft$