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- anonymous

Scarlett is trying to find the height of a dam. She stands 90 meters away from the dam and records the angle of elevation to the top of the dam to be 26º.
Scarlett's height is 1.65 meters, so the height of the dam is

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- anonymous

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- anonymous

help please

- anonymous

|dw:1439257182092:dw|

- anonymous

this is why tangent was invented btw
you have
\[\frac{x}{90}=\tan(26)\] so
\[x=90\times \tan(26)\]

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- anonymous

use a calculator, then add \(1.65\)

- anonymous

I still don't understand

- anonymous

tangent is "opposite over adjacent" right?

- anonymous

you are told the "adjacent' it is 90m
you are looking for the "opposite" the height

- anonymous

multiply 90*26

- anonymous

no dear not by 26, but rather by the tangent of 26

- anonymous

\[x=90\times \tan(26)\] you need a calculator for this

- anonymous

43.8

- anonymous

i get \(43.9\) rounded
then don't forget to add her height

- anonymous

http://www.wolframalpha.com/input/?i=90tan%2826%29

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