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

Answer:

x = 27.4 ft

Step-by-step explanation:

Here given:

• opposite side: 10.5 ft

• adjacent side: x ft

• to that angle: 21°

So, use tan rule:

$\sf tan(\theta) = \dfrac{opposite}{adjacent}$

insert values

$\sf tan(21) = \dfrac{10.5}{x}$

make 'x' subject

$\sf x= \dfrac{10.5}{tan(21) }$

calculate value

$\sf x = 27.35343...$

rounded to nearest tenth

$\sf x = 27.4 \ ft$

Answer 2

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

Tan: $\frac{opposite}{Adjacent}$

Tan 21 = $\frac{10.5}{x}$

Tan 21 × $\frac{1}{10.5}$ = $\frac{10.5}{x}$×$\frac{1}{10.5}$

$\frac{10.5}{Tan 21}=x$

x=27.4

X= 27.4 ft

Hope it helps!