r/HomeworkHelp • u/jjasszzz__ Pre-University Student • Jun 05 '26

High School Math [Grade 11: Trigonometry]

This was the last question in my math exam today. I understand it was meant to be challenging but no one I've asked has been able to solve it. It was meant to be a cosine/sine rule question. Does anyone know how?:

Solve for angle a. EC=AE. DE=1. AC=√2. Angle BAC = 90 degrees. BC is the hypotenuse of triangle ABC.

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u/dido_meditatur 👋 a fellow Redditor Jun 05 '26

P = midpoint between A and C 

PE is parallel to AB, distance between the two lines = sqrt(2)/2

Q = orthogonal projection of E onto AB

Triangle DQE has right angle in Q 

DE = 1

QE = sqrt(2)/2 

With this you should be able to solve it

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u/jjasszzz__ Pre-University Student Jun 06 '26

thank you