Complete question
A scientist is at spot that has An angle elevation of 25.4' top 223 foot all observation. How far is the scientist from the base of the observatory
Answer:
[tex]X\approx469.64[/tex]
Step-by-step explanation:
From the question we are told that
Angle of elevation [tex]\theta= 25.4'[/tex]
Height [tex]H=223[/tex]
Generally the equation for the Distance X is mathematically represented as
[tex]X=\frac{H}{tan\theta}[/tex]
[tex]X=\frac{223}{tan 25.4\textdegree}[/tex]
[tex]X=469.6369092[/tex]
[tex]X\approx469.64[/tex]
Therefore the distance is
[tex]X\approx469.64[/tex]
