
In the right triangle shown, what is the value of ?
Explanation
Answer: B)
Context: Right triangle with angle at top-left, right angle at bottom-left. Opposite side (base) , hypotenuse .
Answer: .
Why: Direct SOH application. The base is opposite angle and the slant is the hypotenuse.
Traps: A) — greater than , impossible for sine. C) — from incorrectly subtracting instead of using Pythagorean theorem. D) — no side equals .