Question

1. (07.01 MC)The moontume a righe triangle was the Earth and the Sun during one of its phases, as shown below:A measures the lex and the distance between the Earth and the Sun Using complete anteces, explain how the scientist can use only these two measurements to calculate the distance between the moon and the Sun (10 points)

Answer 1

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.

`\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}`
`\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}`

`\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}=(y)/(\cos x) \end{gathered}`