Question

Work out the angle of elevation from the

rabbit to the top of the tree.
18 m
9√3m
Not drawn accurately

Answer 1

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

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

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`\large \tt Solution \: :`

Let the angle of elevation be " x "

`\qquad \tt \rightarrow \: \cos(x) = (9 √(3) )/(18)`

`\qquad \tt \rightarrow \: \cos(x) = ( √(3) )/(2)`

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

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

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

Answer 2

The angle is 60 degree.

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