# An ant looks up to the top of the tree with an angle of elivation of 38degrees. if the ant is 43 feet from the base of the

3 answers

###### Question:

An ant looks up to the top of the tree with an angle of elivation of 38degrees. if the ant is 43 feet from the base of the tree, what is the height of the tree, to the nearest tenth?

## Answers

33.6 feet

You need go use the trigonometry function tangent

Tan(38)=x/43

43tan(38)=x/43*43

43tan(38)=x

33.6=x

it's equivalent, so we can say that its equal.

let's call the denominator x and the numerador is 18 less then denominator, x - 18.

[tex]\frac{2}{5}=\frac{x-18}{x}[/tex]

multiply

2.x = 5.(x - 18)

2x = 5x - 90

90 = 5x - 2x

90 = 3x

x = 90/3

x = 30

so:

[tex]\frac{2}{5}=\frac{30-18}{30}[/tex]

[tex]\frac{2}{5}=\frac{12}{30}[/tex]

[tex]Answer this question! eric has a riddle "i am thinking of a fraction that is equivalent to 2/5 and[/tex]you would have to sell 24 bracelets.

step-by-step explanation:

84/3.5 = 24

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