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Leya [2.2K]
2 years ago
5

Work out the angle of elevation from the

Mathematics
2 answers:
insens350 [35]2 years ago
8 0

\quad \huge \quad \quad \boxed{ \tt \:Answer }

\qquad \tt \rightarrow \:Angle \:\: of \:\: elevation= 30°

____________________________________

\large \tt Solution  \: :

Let the angle of elevation be " x "

\qquad \tt \rightarrow \:  \cos(x)  =  \dfrac{9 \sqrt{3} }{18}

\qquad \tt \rightarrow \:  \cos(x)  =  \dfrac{ \sqrt{3} }{2}

\qquad \tt \rightarrow \: x =  \cos {}^{ - 1}  \bigg( \cfrac{ \sqrt{3} }{2} \bigg )

\qquad \tt \rightarrow \: x = 30 \degree \:  \:  or \:  \:  \cfrac{ \pi}{6}   \:  \: rad

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

Nutka1998 [239]2 years ago
5 0

Answer:

The angle is 60 degree.

Step-by-step explanation:

First of all, we will find the height if the tree by using Pythagorean theorm.

Let, height of tree be x.

18^2=(9(3^1/2))^2+x^2

324=243+x^2

x^2=324-243

x^2=81

x=9

Now, let the angle be y.

tan y= x/base

tan y=9/9×(3^1/2)

tan y=1.73

y=cot 1.73

y= 60

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