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

`l_d=11.28ft`

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=(h)/(tan \theta)`

`l_d=(6)/(tan 28)`

`l_d=(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`