Official June 2023 Digital SAT Exam - Math Walkthrough - Module 1 - 800 SAT Math Scorer

Are you aiming for a perfect score on the Digital SAT? Join Jackie C, an expert tutor with a perfect score, on an exclusive journey to conquer the Digital SAT Math section.
In this video, Jackie jumps into an inspired Official June Digital SAT Exam and does a walkthrough of the questions featured in module 1.
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*Disclaimer: This examination is inspired by the official SAT® exam format and content but has been independently created and modified for educational purposes. All questions and materials herein are original creations or have been substantially altered from any source material. This document is not affiliated with, endorsed by, or representative of the College Board, SAT®, or any related entities. The use of the SAT® name is for descriptive purposes only and does not imply any connection or endorsement.

[@NihadFarajov]

Keep going please

[@epicexamprep]

Thank you! I will =)

[@irmakaygunoglu]

Hey! Thank you so much, I couldn't find the module 2 video :(

[@epicexamprep]

You're welcome! I am not sure if I posted yet! 😅

[@m.iladparsa]

@@epicexamprep Are you planning on positing it soon? it would be really helpful

[@chanelgreen4096]

Hey girl, I think you've got the last one wrong, number 22. The triangles are similar with different hypotenuse length, so I think you needed to multiply each side by 3.5 at the end of the video.

[@epicexamprep]

Hi! Thanks for your comment. But 21/29 is correct...I'll explain! Both triangles are indeed similar, and the corresponding angles are equal, meaning their sides are proportional. You mentioned the hypotenuse length and the need to multiply each side by 3.5, which is partly correct but not applicable for calculating sin R.
Here’s a quick breakdown:
Similarity of Triangles: Because the triangles are similar, the ratios of corresponding sides are equal. So if one side is scaled by 3.5, all corresponding sides are scaled by 3.5.
Trigonometric Ratios: The trigonometric functions (like sine, cosine, and tangent) depend on the ratios of the sides of the triangles, not the actual lengths. This means that the values of sin A, cos A, and tan A are the same as sin R, cos R, and tan R respectively because angle A = angle R.
Given Values: The problem provided tan A = 21/20, which allowed us to find sin A = 21/29 using trigonometric identities. Since angle A = angle R, it directly follows that sin R = sin A = 21/29.
Scaling the Hypotenuse: While it’s true the hypotenuse is scaled by 3.5, this doesn’t affect the trigonometric ratio. To see why, consider that multiplying both the numerator and the denominator of the ratio by 3.5 gives:
21 * 3.5 = 73.5
29 * 3.5 = 101.5
So, sin R = 73.5 / 101.5.
When you simplify 73.5 / 101.5 by dividing both the numerator and the denominator by 3.5, you get back to 21 / 29, which shows the ratio remains the same.
So, the correct sin R is indeed 21/29 regardless of the scaling factor. Hope this clears up the confusion! 😊

[@pandathegaminglegend5700]

trigonometric ratios are the same in similar trianges. its like saying that 2/3 is the same 4/6. u can multiply or divide but since u do the same to both values, the ratio is still the same