Question

100 POINTS!!! In one area, the lowest angle of elevation of the sun in winter is 21° Find the distance x that a plant needing full sun can be placed from a fence that is 10.5 feet high. Round your answer to the tenths place when necessary.

Answer 1

To find the length of the missing side x, use Tan trigonometric formula

Tan:
`(opposite)/(Adjacent)`

Tan 21 =
`(10.5)/(x)`

Tan 21 ×
`(1)/(10.5)` =
`(10.5)/(x)`×
`(1)/(10.5)`

`(10.5)/(Tan 21)=x`

x=27.4

X= 27.4 ft

Hope it helps!

Answer 2

x = 27.4 ft

Explanation:

Here given:

• opposite side: 10.5 ft

• adjacent side: x ft

• to that angle: 21°

So, use tan rule:

`\sf tan(\theta) = (opposite)/(adjacent)`

insert values

`\sf tan(21) = (10.5)/(x)`

make 'x' subject

`\sf x= (10.5)/(tan(21) )`

calculate value

`\sf x = 27.35343...`

rounded to nearest tenth

`\sf x = 27.4 \ ft`