Update Trig Quiz 1.md

Grade 10/Math/MPM2DZ/Trig Quiz 1.md

@@ -1,6 +1,47 @@
 # Question 1
 
 ```math
-\text{ draw a perpendicular line from } A \text { to } BC \\
+
+\because \angle B^\prime = \angle B \quad (\text{Corresonding Line theorem}) \\
+
+\because \angle C^\prime = \angle C \quad (\text{Corresponding Line theorem}) \\
+
+\therefore \triangle AB^\prime C^\prime \sim \triangle ABC  \quad (\text{ AA } \sim) \\ \\
+
+\therefore \dfrac{AB^\prime}{B^\prime C^\prime} = \dfrac{AB}{BC} \\ 
+
+\quad \\ 
+
+
+\therefore \dfrac{30}{14} = \dfrac{30+x}{22} \\ \\
+
+\quad \\ 
+
+14(30+x) = 22(30) \\
+
+\quad \\
+
+x = \dfrac{22(30)}{14} - 30 \\
+
+\quad \\
+
+x = 17.1428571 \approx 17.14 
+```
+
+```math
+
+\dfrac{AC^\prime}{B^\prime C^\prime} = \dfrac{AC}{BC} \\
+
+\quad \\
+
+\dfrac{y}{14} = \dfrac{y+15}{22} \\
+
+\quad \\
+
+22y = 14y + 14(15) \\
+
+8y = 14(15) \\
+
+y = 26.25
 
 ```