Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

3. When the moon is exactly half full, the earth, moon, and sun form a right tri

ID: 2912483 • Letter: 3

Question

3. When the moon is exactly half full, the earth, moon, and sun form a right trinngle. The right angle is the angle at the moon. At that time, the angle formed by the sun earth and moon is 89.85 (the angle at the Earth). If the distance from the earth to the moon is 240,000 miles, estimate the distance from the earth to the sun. 4. A Iaser beam (on the Earth) is to be directed toward the oenter of the moon, but the beam strays 0.5 from its intended path. a. Sketch a picture of this. Use 240,000 miles as the distance to the center of the moon from the Earth. b. How far has the beam diverged from its assigned target (the center of the moon) when it reaches the moon (or a perpendieular line to drawn to the center of the moon)? Show your work, and your estimated answer c. The radius of the moon is about 1000 miles. Will the beam hit the moon?

Explanation / Answer

Angle SEM = 89.5 degrees
EM = 240000 miles
We need Es

So, we gotta use
cos(89.5) = 240000 / ES

ES = 240000 / cos(89.5)

ES = 27502323.2364097580847313 miles

--------------------------------------------------------------------

Hire Me For All Your Tutoring Needs
Integrity-first tutoring: clear explanations, guidance, and feedback.
Drop an Email at
drjack9650@gmail.com
Chat Now And Get Quote