Step 1
If the scientist measures the angle x and y, the distance between the earth and the sun, he can measure the distance between the moon and the sun by using trigonometric ratios.
Step 2
Use complete sentences to explain how the scientist can use only these two measurements mentioned above to get the distance between the moon and the sun.
[tex]\begin{gathered} 1)\text{ The angle faces the distance betwe}en\text{ the earth and the moon.} \\ \text{ This distance is taken as the opposite.} \end{gathered}[/tex][tex]\begin{gathered} 2)\text{ y is taken as the adjacent.} \\ \text{ The distance betw}een\text{ the moon and the sun is the hypothenuse} \end{gathered}[/tex][tex]3)\text{ The ratio CAH written as ( Cosine, Adjacent, Hypoyhenuse) is used to find the required distance.}[/tex][tex]\begin{gathered} 4)\text{ The representation will be},\text{ }\frac{Adjacent}{\text{Hypothenuse}}=\text{ cosx} \\ So\text{ that,} \\ \cos x\text{ =}\frac{y}{\text{Hypothenus}} \\ \text{Hypothenuse}=\frac{y}{\cos x} \end{gathered}[/tex]
